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Dissertations / Theses on the topic 'Curvature functionals'

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1

Mondino, Andrea. "The Willmore functional and other L^p curvature functionals in Riemannian manifolds." Doctoral thesis, SISSA, 2011. http://hdl.handle.net/20.500.11767/4840.

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Using techniques both of non linear analysis and geometric measure theory, we prove existence of minimizers and more generally of critical points for the Willmore functional and other $L^p$ curvature functionals for immersions in Riemannian manifolds. More precisely, given a $3$-dimensional Riemannian manifold $(M,g)$ and an immersion of a sphere $f:\Sp^2 \hookrightarrow (M,g)$ we study the following problems. 1) The Conformal Willmore functional in a perturbative setting: consider $(M,g)=(\Rtre,\eu+\epsilon h)$ the euclidean $3$-space endowed with a perturbed metric ($h=h_{\mu\nu}$ is a s
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2

PARRILLO, ANTONELLA. "Analytical and computational study of curvature depending functionals in image segmentation." Doctoral thesis, Università degli Studi di Roma "Tor Vergata", 2008. http://hdl.handle.net/2108/689.

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In questa tesi sono stati trattati problemi di segmentazione dell'immagine mediante strumenti di analisi variazionale. Ho studiato due funzionali contenenti integrali di funzioni dipendenti dalla curvatura degli elementi di una famiglia di curve $C$ approssimante i contorni di una data immagine, la lunghezza di esse e il numero dei loro punti finali. Per uno dei due funzionali ho calcolato il sistema delle equazioni di Eulero e, usando uno schema iterativo basato sulle differenze finite, ho effettuato esperimenti al computer su alcune immagini.<br>In the present thesis we study variational p
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3

Winklmann, Sven. "Krümmungsabschätzungen für stabile Extremalen parametrischer Funktionale / Curvature estimates for stable extremals of parametric functionals." Gerhard-Mercator-Universitaet Duisburg, 2004. http://www.ub.uni-duisburg.de/ETD-db/theses/available/duett-03192004-115454/.

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We consider immersed hypersurfaces in euclidean $R^{n+1}$ which are stable with respect to an elliptic parametric functional with integrand $F=F(N)$ depending on normal directions only. We prove an integral curvature estimate provided that $F$ is sufficiently close to the area integrand, extending the classical curvature estimate of Schoen, Simon and Yau for stable minimal hypersurfaces in $R^{n+1}$. As a crucial point of our analysis we derive a generalized Simons inequality for the laplacian of the length of a weighted second fundamental form with respect to an abstract metric associated wit
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4

Käfer, Bastian [Verfasser], der Mosel Heiko Akademischer Betreuer] von, Alfred [Akademischer Betreuer] [Wagner, and Pawel [Akademischer Betreuer] Strzelecki. "Scale-invariant geometric curvature functionals, and characterization of Lipschitz- and $C^1$-submanifolds / Bastian Käfer ; Heiko von der Mosel, Alfred Wagner, Pawel Strzelecki." Aachen : Universitätsbibliothek der RWTH Aachen, 2021. http://d-nb.info/1239566719/34.

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5

Silva, Adam Oliveira da. "Rigidez de métricas críticas para funcionais riemannianos." reponame:Repositório Institucional da UFC, 2017. http://www.repositorio.ufc.br/handle/riufc/25969.

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SILVA, Adam Oliveira da. Rigidez de métricas críticas para funcionais riemannianos. 2017. 78 f. Tese (Doutorado em Matemática) – Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2017.<br>Submitted by Andrea Dantas (pgmat@mat.ufc.br) on 2017-09-19T19:08:04Z No. of bitstreams: 1 2017_tese_aosilva.pdf: 481005 bytes, checksum: 2bdfc6ab68b042a5cfd4f67caf1e21e4 (MD5)<br>Rejected by Rocilda Sales (rocilda@ufc.br), reason: Bom dia, Estou devolvendo a Tese de ADAM OLIVEIRA DA SILVA, para que o arquivo seja substituído, pois o aluno já veio na BCM e orientei quais eram as correções a ser
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6

Dalphin, Jérémy. "Étude de fonctionnelles géométriques dépendant de la courbure par des méthodes d'optimisation de formes. Applications aux fonctionnelles de Willmore et Canham-Helfrich." Thesis, Université de Lorraine, 2014. http://www.theses.fr/2014LORR0167/document.

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En biologie, lorsqu'une quantité importante de phospholipides est insérée dans un milieu aqueux, ceux-Ci s'assemblent alors par paires pour former une bicouche, plus communément appelée vésicule. En 1973, Helfrich a proposé un modèle simple pour décrire la forme prise par une vésicule. Imposant la surface de la bicouche et le volume de fluide qu'elle contient, leur forme minimise une énergie élastique faisant intervenir des quantités géométriques comme la courbure, ainsi qu'une courbure spontanée mesurant l'asymétrie entre les deux couches. Les globules rouges sont des exemples de vésicules su
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7

Guo, Li. "Shape blending using discrete curvature-variation functional /." View abstract or full-text, 2005. http://library.ust.hk/cgi/db/thesis.pl?IEEM%202005%20GUO.

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8

ALESSANDRONI, ROBERTA. "Evolution of hypersurfaces by curvature functions." Doctoral thesis, Università degli Studi di Roma "Tor Vergata", 2008. http://hdl.handle.net/2108/661.

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Consideriamo un'ipersuperficie liscia di ℝⁿ⁺¹, con n≥2, e la sua evoluzione secondo una classe di flussi geometrici. La velocità di questi flussi ha direzione normale alla superficie e il modulo è una funzione simmetrica delle curvature principali. Inizialmente mostriamo alcune proprietà generali di questi flussi e calcoliamo l'equazione di evoluzione per una generica funzione omogenea delle curvature principali. In particolare applichiamo il flusso con velocità S=(H/(logH)), dove H è la curvatura media a meno di una costante, ad una superficie con curvatura media positiva per ottenere delle
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Evangelista, Israel de Sousa. "Compact almost Ricci soliton, critical metrics of the total scalar curvature functional and p-fundamental tone estimates." reponame:Repositório Institucional da UFC, 2017. http://www.repositorio.ufc.br/handle/riufc/23920.

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EVANGELISTA, I. S. Compact almost Ricci soliton, critical metrics of the total scalar curvature functional and p-fundamental tone estimates. 2017. 75 f. Tese (Doutorado em Matemática) – Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2017.<br>Submitted by Andrea Dantas (pgmat@mat.ufc.br) on 2017-07-10T12:41:32Z No. of bitstreams: 1 2017_tese_isevangelista.pdf: 618771 bytes, checksum: 7e4bb8d9fd8825ef347e309171075037 (MD5)<br>Approved for entry into archive by Rocilda Sales (rocilda@ufc.br) on 2017-07-10T14:06:18Z (GMT) No. of bitstreams: 1 2017_tese_isevangelista.pdf: 618771 byte
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Buckland, John A. (John Anthony) 1978. "Mean curvature flow with free boundary on smooth hypersurfaces." Monash University, School of Mathematical Sciences, 2003. http://arrow.monash.edu.au/hdl/1959.1/5809.

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11

Walsh, Mark. "Metrics of positive scalar curvature and generalised Morse functions /." Connect to title online (Scholars' Bank) Connect to title online (ProQuest), 2009. http://hdl.handle.net/1794/10265.

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12

Walsh, Mark 1976. "Metrics of positive scalar curvature and generalised Morse functions." Thesis, University of Oregon, 2009. http://hdl.handle.net/1794/10265.

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x, 164 p. : ill. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number.<br>We study the topology of the space of metrics of positive scalar curvature on a compact manifold. The main tool we use for constructing such metrics is the surgery technique of Gromov and Lawson. We extend this technique to construct families of positive scalar curvature cobordisms and concordances which are parametrised by Morse functions and later, by generalised Morse functions. We then use these results to study concordances of positive scalar
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13

DiÃgenes, Rafael Jorge Pontes. "MÃtricas crÃticas do funcional volume, volume mÃnimo e curvatura mÃnima em variedades de dimensÃo quatro." Universidade Federal do CearÃ, 2015. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=14179.

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FundaÃÃo Cearense de Apoio ao Desenvolvimento Cientifico e TecnolÃgico<br>CoordenaÃÃo de AperfeÃoamento de Pessoal de NÃvel Superior<br>Este trabalho tem como principal objetivo estudar as mÃtricas do funcional volume, volume mÃnimo e curvatura mÃnima em variedades compactas de dimensÃo quatro. Na primeira parte o objetivo à investigar as mÃtricas crÃticas do funcional volume sob a condiÃÃo de tais mÃtricas serem Bach-flats em uma variedade compacta com bordo &#8706;M. Provamos que uma mÃtrica crÃtica do funcional volume Bach-flat em uma variedade simplesmente conexa de dimensÃo quatro com bor
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14

Dalphin, Jérémy. "Étude de fonctionnelles géométriques dépendant de la courbure par des méthodes d'optimisation de formes. Applications aux fonctionnelles de Willmore et Canham-Helfrich." Electronic Thesis or Diss., Université de Lorraine, 2014. http://docnum.univ-lorraine.fr/prive/DDOC_T_2014_0167_DALPHIN.pdf.

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En biologie, lorsqu'une quantité importante de phospholipides est insérée dans un milieu aqueux, ceux-Ci s'assemblent alors par paires pour former une bicouche, plus communément appelée vésicule. En 1973, Helfrich a proposé un modèle simple pour décrire la forme prise par une vésicule. Imposant la surface de la bicouche et le volume de fluide qu'elle contient, leur forme minimise une énergie élastique faisant intervenir des quantités géométriques comme la courbure, ainsi qu'une courbure spontanée mesurant l'asymétrie entre les deux couches. Les globules rouges sont des exemples de vésicules su
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15

Mroz, Kamil. "Bounds on eigenfunctions and spectral functions on manifolds of negative curvature." Thesis, Loughborough University, 2014. https://dspace.lboro.ac.uk/2134/15038.

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In this dissertation we study the Laplace operator acting on functions on a smooth, compact Riemannian manifold. Our approach is based on the study of the spectrum of the aforementioned operator. The main objects of our interest are the counting function of the Laplacian and its Riesz means. We discuss the asymptotics of aforementioned functions when the argument approaches infinity.
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Garcia, Edijane Paredes. "Uso de polinômios fracionários nos modelos mistos." Botucatu, 2019. http://hdl.handle.net/11449/181646.

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Orientador: Luzia Aparecida Trinca<br>Resumo: A classe dos modelos de regressão incorporando polinômios fracionários - FPs (Fractional Polynomials), proposta por Royston & Altman (1994), tem sido amplamente estudada. O uso de FPs em modelos mistos constitui uma alternativa muito atrativa para explicar a dependência das medidas intra-unidades amostrais em modelos em que há não linearidade na relação entre a variável resposta e variáveis regressoras contínua. Tal característica ocorre devido aos FPs oferecerem, para a resposta média, uma variedade de formas funcionais não lineares para as variáv
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Paparcone, Raffaella. "SUPERSTRUCTURAL INFORMATION IN DNA SEQUENCES: FROM STRUCTURAL TOWARD FUNCTIONAL GENOMICS." Doctoral thesis, La Sapienza, 2005. http://hdl.handle.net/11573/917359.

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18

Amato, Stefano. "Some results on anisotropic mean curvature and other phase transition models." Doctoral thesis, SISSA, 2015. http://hdl.handle.net/20.500.11767/4859.

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The present thesis is divided into three parts. In the first part, we analyze a suitable regularization — which we call nonlinear multidomain model — of the motion of a hypersurface under smooth anisotropic mean curvature flow. The second part of the thesis deals with crystalline mean curvature of facets of a solid set of R^3 . Finally, in the third part we study a phase-transition model for Plateau’s type problems based on the theory of coverings and of BV functions.
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19

Tewodrose, David. "Some functional inequalities and spectral properties of metric measure spaces with curvature bounded below." Thesis, Paris Sciences et Lettres (ComUE), 2018. http://www.theses.fr/2018PSLEE076.

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L’objectif de la thèse est de présenter de nouveaux résultats d’analyse sur les espaces métriques mesurés. Nous étendons d’abord à une certaine classe d’espaces avec doublement et Poincaré des inégalités de Sobolev pondérées introduites par V. Minerbe en 2009 dans le cadre des variétés riemanniennes à courbure de Ricci positives. Dans le contexte des espaces RCD(0,N), nous en déduisons une inégalité de Nash pondérée et un contrôle uniforme du noyau de la chaleur pondéré associé. Puis nous démontrons la loi de Weyl sur les espaces RCD(K,N) compactes à l’aide d’un théorème de convergence ponctue
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Tewodrose, David. "Some functional inequalities and spectral properties of metric measure spaces with curvature bounded below." Doctoral thesis, Scuola Normale Superiore, 2018. http://hdl.handle.net/11384/85734.

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[from the introduction]: The aim of this thesis is to study metric measure spaces with a synthetic notion of Ricci curvature bounded below. We study them from the point of view of Sobolev/Nash type functional inequalities in the non-compact case, and from the point of view of spectral analysis in the compact case. The heat kernel links the two cases: in the first one, the goal is to get new estimates on the heat kernel of some associated weighted structure; in the second one, the heat kernel is the basic tool to establish our results. The topic of synthetic Ricci curvature bounds has kno
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Bäcklund, Pierre. "Studies on boundary values of eigenfunctions on spaces of constant negative curvature." Doctoral thesis, Uppsala University, Department of Mathematics, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-8920.

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<p>This thesis consists of two papers on the spectral geometry of locally symmetric spaces of Riemannian and Lorentzian signature. Both works are concerned with the idea of relating analysis on such spaces to structures on their boundaries.</p><p>The first paper is motivated by a conjecture of Patterson on the Selberg zeta function of Kleinian groups. We consider geometrically finite hyperbolic cylinders with non-compact Riemann surfaces of finite area as cross sections. For these cylinders, we present a detailed investigation of the Bunke-Olbrich extension operator under the assumption that t
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Xu, Chao. "Non-conformal geometry on noncommutative two tori." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1566225527101998.

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Filho, Francisco de Assiss Benjamim. "A partial answer to the CPE conjecture, diameter estimates and manifolds with constant energy." Universidade Federal do CearÃ, 2015. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=14748.

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CoordenaÃÃo de AperfeÃoamento de Pessoal de NÃvel Superior<br>Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico<br>Esta tese està dividida em quatro partes. Na primeira delas estudaremos pontos crÃticos do funcional curvatura escalar total restrito ao espaÃo das mÃtricas de curvatura escalar constante e volume unitÃrio. Provaremos que sob certas condiÃÃes integrais convenientes os pontos crÃticos de tal funcional sÃo variedades de Einstein provando assim a conjectura dos pontos crÃticos neste caso. Na segunda parte, veremos duas estimativas para o primeiro autovalor do Laplaciano d
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Knecht, Casey Scott. "Crash Prediction Modeling for Curved Segments of Rural Two-Lane Two-Way Highways in Utah." BYU ScholarsArchive, 2014. https://scholarsarchive.byu.edu/etd/4352.

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This thesis contains the results of the development of crash prediction models for curved segments of rural two-lane two-way highways in the state of Utah. The modeling effort included the calibration of the predictive model found in the Highway Safety Manual (HSM) as well as the development of Utah-specific models developed using negative binomial regression. The data for these models came from randomly sampled curved segments in Utah, with crash data coming from years 2008-2012. The total number of randomly sampled curved segments was 1,495. The HSM predictive model for rural two-lane two
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Ripani, Luigia. "Le problème de Schrödinger et ses liens avec le transport optimal et les inégalités fonctionnelles." Thesis, Lyon, 2017. http://www.theses.fr/2017LYSE1274/document.

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Au cours des 20 dernières années, la théorie du transport optimal s’est revelée être un outil efficace pour étudier le comportement asymptotique dans le cas des équations de diffusion, pour prouver des inégalités fonctionnelles et pour étendre des propriétés géométriques dans des espaces extrêmement généraux comme des espaces métriques mesurés, etc. La condition de courbure-dimension de la théorie Bakry-Emery apparaît comme la pierre angulaire de ces applications. Il suffit de penser au cas le plus simple et le plus important de la distance quadratique de Wasserstein W2 : la contraction du flu
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Sandy, Alexis Emily. "Environmental and Digital Data Analysis of the National Wetlands Inventory (NWI) Landscape Position Classification System." Thesis, Virginia Tech, 2006. http://hdl.handle.net/10919/33572.

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The National Wetlands Inventory (NWI) is the definitive source for wetland resources in the United States. The NWI production unit in Hadley, MA has begun to upgrade their digital map database, integrating descriptors for assessment of wetland functions. Updating is conducted manually and some automation is needed to increase production and efficiency. This study assigned landscape position descriptor codes to NWI wetland polygons and correlated polygon environmental properties with public domain terrain, soils, hydrology, and vegetation data within the Coastal Plain of Virginia. Environment
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CHERMISI, MILENA. "Crystalline flow of planar partitions and a geometric approach for systems of PDEs." Doctoral thesis, Università degli Studi di Roma "Tor Vergata", 2006. http://hdl.handle.net/2108/202647.

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La presente tesi tratta due argomenti distinti. Il Capitolo 1 e il Capitolo 2 riguardano problemi di evoluzione di interfacce nel piano. Nel Capitolo 1 viene considerata l’evoluzione di un materiale policristallino con tre (o più) fasi, in presenza di un’anisotropia cristallina (pari) ϕo la cui linea di livello 1, Fϕ :={ϕo ≤1} (Frank diagram), è un poligono regolare di n lati. La funzione duale ϕ : R2 →R definita da ϕ(ξ) := sup{ξ·η : ϕo(η)≤1}´e anch’essa un’anisotropia cristallina e Wϕ := {ϕ ≤ 1} è detta Wulff shape. In particolare, viene studiato il moto per curvatura cristallina di triodi elem
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Dahmani, Kamilia. "Weighted LP estimates on Riemannian manifolds." Thesis, Toulouse 3, 2018. http://www.theses.fr/2018TOU30188/document.

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Cette thèse s'inscrit dans le domaine de l'analyse harmonique et plus exactement, des estimations à poids. Un intérêt particulier est porté aux estimations Lp à poids des transformées de Riesz sur des variétés Riemanniennes complètes ainsi qu'à l'optimalité des résultats en terme de la puissance de la caractéristique des poids. On obtient un premier résultat (en terme de la linéarité et de la non dépendance de la dimension) sur des espaces pas nécessairement de type homogène, lorsque p = 2 et la courbure de Bakry-Emery est positive. On utilise pour cela une approche analytique en exhibant une
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Hussain, Jakir. "Three Essays on the Measurement of Productivity." Thesis, Université d'Ottawa / University of Ottawa, 2017. http://hdl.handle.net/10393/36194.

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This doctoral thesis consists of three essays. In the first essay I investigate the presence of productivity convergence in eight regional pulp and paper industries of U.S. and Canada over the period of 1971-2005. Expectation of productivity convergence in the pulp and paper industries of Canadian provinces and of the states of its southern neighbour is high since they are trading partners with fairly high level of exchanges in both pulp and paper products. Moreover, they share a common production technology that changed very little over the last century. I supplement the North-American region
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Maity, Soma. "On the Stability of Certain Riemannian Functionals." Thesis, 2012. http://etd.iisc.ac.in/handle/2005/3230.

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Given a compact smooth manifold Mn without boundary and n ≥ 3, the Lp-norm of the curvature tensor, defines a Riemannian functional on the space of Riemannian metrics with unit volume M1. Consider C2,α-topology on M1 Rp remains invariant under the action of the group of diffeomorphisms D of M. So, Rp is defined on M1/ D. Our first result is that Rp restricted to the space M1/D has strict local minima at Riemannian metrics with constant sectional curvature for certain values of p. The product of spherical space forms and the product of compact hyperbolic manifolds are also cr
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Maity, Soma. "On the Stability of Certain Riemannian Functionals." Thesis, 2012. http://hdl.handle.net/2005/3230.

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Given a compact smooth manifold Mn without boundary and n ≥ 3, the Lp-norm of the curvature tensor, defines a Riemannian functional on the space of Riemannian metrics with unit volume M1. Consider C2,α-topology on M1 Rp remains invariant under the action of the group of diffeomorphisms D of M. So, Rp is defined on M1/ D. Our first result is that Rp restricted to the space M1/D has strict local minima at Riemannian metrics with constant sectional curvature for certain values of p. The product of spherical space forms and the product of compact hyperbolic manifolds are also cr
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"Conformal deformation and prescribing scalar curvature." 1999. http://library.cuhk.edu.hk/record=b5889855.

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by Lam Chi Fung.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 1999.<br>Includes bibliographical references (leaves 58-63).<br>Abstract also in Chinese.<br>Chapter Chapter 0 --- Introduction --- p.6<br>Chapter Chapter 1 --- Preliminaries --- p.10<br>Chapter Chapter 2 --- Uniform L∞ Bounds and Blow-up Behavior --- p.20<br>Chapter Chapter 3 --- Branch Bubbling and Pre-branch Bubbling Sequences --- p.32<br>Chapter Chapter 4 --- Related Problems --- p.46<br>Bibliography --- p.58
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Keshari, Dinesh Kumar. "Infinitely Divisible Metrics, Curvature Inequalities And Curvature Formulae." Thesis, 2012. https://etd.iisc.ac.in/handle/2005/2332.

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The curvature of a contraction T in the Cowen-Douglas class is bounded above by the curvature of the backward shift operator. However, in general, an operator satisfying the curvature inequality need not be contractive. In this thesis, we characterize a slightly smaller class of contractions using a stronger form of the curvature inequality. Along the way, we find conditions on the metric of the holomorphic Hermitian vector bundle E corresponding to the operator T in the Cowen-Douglas class which ensures negative definiteness of the curvature function. We obtain a generalization for commutin
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Keshari, Dinesh Kumar. "Infinitely Divisible Metrics, Curvature Inequalities And Curvature Formulae." Thesis, 2012. http://etd.iisc.ernet.in/handle/2005/2332.

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The curvature of a contraction T in the Cowen-Douglas class is bounded above by the curvature of the backward shift operator. However, in general, an operator satisfying the curvature inequality need not be contractive. In this thesis, we characterize a slightly smaller class of contractions using a stronger form of the curvature inequality. Along the way, we find conditions on the metric of the holomorphic Hermitian vector bundle E corresponding to the operator T in the Cowen-Douglas class which ensures negative definiteness of the curvature function. We obtain a generalization for commuting
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35

Hawkins, Christopher Ryan. "A minimization of a curvature functional on fiber bundles." Thesis, 1998. http://hdl.handle.net/1911/19268.

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Let B be a smooth compact orientable surface without boundary and with $\chi(B) < 0.$ We examine two types of fiber bundles M over B with fiber F. The first is a principle fiber bundle with a two-torus fiber and the second is an $S\sp2$ fiber bundle with an SO(3) group action. In each case, the tangent space of the bundle can be decomposed into a vertical space, those vectors tangent to fibers, and a horizontal space complementary to the vertical space and invariant under the group action. The bundle can be given a metric that is the direct sum of metrics on the vertical and horizontal spaces.
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"Harmonic functions on manifolds of non-positive curvature." 1999. http://library.cuhk.edu.hk/record=b5889983.

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by Lei Ka Keung.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 1999.<br>Includes bibliographical references (leaves 70-71).<br>Abstracts in English and Chinese.<br>Chapter 0 --- Introduction --- p.5<br>Chapter 1 --- Dirichlet Problem at infinity --- p.9<br>Chapter 1.1 --- The Geometric Boundary --- p.9<br>Chapter 1.2 --- Dirichlet Problem --- p.15<br>Chapter 2 --- The Martin Boundary --- p.29<br>Chapter 2.1 --- The Martin Metric --- p.30<br>Chapter 2.2 --- The Representation Formula --- p.31<br>Chapter 2.3 --- Uniqueness of Representation --- p.36<br>Chapter 3 --- The Geometric
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CHEN, CHUANG-YI, and 陳創義. "The harmonic functions on complete riemannian manifolds of nonnegative ricci curvature." Thesis, 1988. http://ndltd.ncl.edu.tw/handle/27426541147655831097.

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PAPARCONE, RAFFAELLA, Stefano MOROSETTI, Anita SCIPIONI, and SANTIS Pasquale DE. "Superstructural information in DNA sequences: from structural toward functional genomics." Doctoral thesis, 2005. http://hdl.handle.net/11573/391173.

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Although DNA is iconized as a straight double helix, it does not exist in this canonical form in biological systems. Instead, it is characterized by sequence dependent structural and dynamic deviations from the monotonous regularity of the canonical B-DNA. Despite the complexity of the system, we showed that DNA structural and dynamics large-scale properties can be predicted starting from the simple knowledge of nucleotide sequence by adopting a statistical approach. The paper reports the statistical analysis of large pools of different prokaryotic genes in terms of the sequence-dependent curv
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Bacher, Kathrin [Verfasser]. "Curvature dimension bounds and functional inequalities : localization, tensorization and stability / vorgelegt von Kathrin Bacher." 2010. http://d-nb.info/1002425204/34.

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40

Berthaume, Michael Anthony. "Tooth Cusp Radius of Curvature as a Dietary Correlate in Primates." 2013. https://scholarworks.umass.edu/open_access_dissertations/835.

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Tooth cusp radius of curvature (RoC) has been hypothesized to play an important role in food item breakdown, but has remained largely unstudied due to difficulties in measuring and modeling RoC in multicusped teeth. We tested these hypotheses using a parametric model of a four cusped, maxillary, bunodont molar in conjunction with finite element analysis. When our data failed to support existing hypotheses, we put forth and tested the Complex Cusp Hypothesis which states that, during brittle food items breakdown, an optimally shaped molar would be maximizing stresses in the food item while mini
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41

Ulsamer, Stefanie [Verfasser]. "Non-trivial bounded harmonic functions on Cartan-Hadamard manifolds of unbounded curvature / vorgelegt von Stefanie Ulsamer." 2004. http://d-nb.info/969897324/34.

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42

Reza, Md Ramiz. "Curvature Inequalities for Operators in the Cowen-Douglas Class of a Planar Domain." Thesis, 2016. http://etd.iisc.ac.in/handle/2005/2974.

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43

Reza, Md Ramiz. "Curvature Inequalities for Operators in the Cowen-Douglas Class of a Planar Domain." Thesis, 2016. http://etd.iisc.ernet.in/handle/2005/2974.

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44

Yu, Li-Chung, and 游禮中. "Gradient Estimate and Liouville Property of L-pseudoharmonic Functions on a Complete Pseudohermitian Manifold with Bakry-Emery Pseudohermitian Ricci Curvature." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/30158114766343627405.

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Abstract:
碩士<br>國立臺灣大學<br>數學研究所<br>103<br>In this paper, we modify Yau&apos;&apos;s method to discuss a gradient estimate of a nonnegative L-pseudoharmonic function on a oriented, complete, pseudohermitian manifold which satisfies Witten-sub-Laplacian comparison property. Since the manifold we considered in this paper is weighted manifold, the curvature we consider is not only Ricci curvature but Bakry-Emery Ricci curvature Ric_m,n (L). At the end of this paper, we can get that when the form 2Ric_m,n (L) - Tor(L) is bounded below, any gradient estimate of a nonnegative L-pseudoharmonic function is bound
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45

Lafrance, Marie. "Solutions à courbure constante de modèles sigma supersymétriques." Thèse, 2017. http://hdl.handle.net/1866/20204.

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