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Relevant bibliographies by topics / Riemannian manifolds

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Academic literature on the topic 'Riemannian manifolds'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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Journal articles on the topic "Riemannian manifolds"

1

Chaubey, Sudhakar, and Young Suh. "Riemannian concircular structure manifolds." Filomat 36, no. 19 (2022): 6699–711. http://dx.doi.org/10.2298/fil2219699c.

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In this manuscript, we give the definition of Riemannian concircular structure manifolds. Some basic properties and integrability condition of such manifolds are established. It is proved that a Riemannian concircular structure manifold is semisymmetric if and only if it is concircularly flat. We also prove that the Riemannian metric of a semisymmetric Riemannian concircular structure manifold is a generalized soliton. In this sequel, we show that a conformally flat Riemannian concircular structure manifold is a quasi-Einstein manifold and its scalar curvature satisfies the partial differentia

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Sari, Ramazan, та Mehmet Akyol. "Hemi-slant ξ⊥-Riemannian submersions in contact geometry". Filomat 34, № 11 (2020): 3747–58. http://dx.doi.org/10.2298/fil2011747s.

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M. A. Akyol and R. Sar? [On semi-slant ??-Riemannian submersions, Mediterr. J. Math. 14(6) (2017) 234.] defined semi-slant ??-Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. As a generalization of the above notion and natural generalization of anti-invariant ??-Riemannian submersions, semi-invariant ??-Riemannian submersions and slant submersions, we study hemi-slant ??-Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We obtain the geometry of foliations, give some examples and find necessary and sufficient condition for the base manifold to b

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Rovenski, Vladimir, Sergey Stepanov, and Irina Tsyganok. "The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective Submersions." Mathematics 7, no. 6 (2019): 527. http://dx.doi.org/10.3390/math7060527.

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In the present paper, we study twisted and warped products of Riemannian manifolds. As an application, we consider projective submersions of Riemannian manifolds, since any Riemannian manifold admitting a projective submersion is necessarily a twisted product of some two Riemannian manifolds.

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Popov, Vladimir A. "Analytic Extension of Riemannian Analytic Manifolds of Small Dimension." UNIVERSITY NEWS. NORTH-CAUCASIAN REGION. NATURAL SCIENCES SERIES, no. 2 (218) (June 23, 2023): 21–28. http://dx.doi.org/10.18522/1026-2237-2023-2-21-28.

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Abstract. An analytic extension of a locally given Riemannian analytic metric to a non-extendable Riemannian analytic manifold is considered. There are an infinite number of such extensions, and most of these extensions are very unnatural. The search for the most natural extensions leads to a generalization of the concept of completeness of a Riemannian manifold. It is possible to define a so called compressed manifold for metrics whose Lie algebra of Killing vector fields has no center. It is a universally attracting object in the category of all locally isometric Riemannian analytic manifold

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Köprülü, Gizem, and Bayram Şahin. "Anti-invariant Riemannian submersions from Sasakian manifolds with totally umbilical fibers." International Journal of Geometric Methods in Modern Physics 18, no. 11 (2021): 2150169. http://dx.doi.org/10.1142/s0219887821501693.

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The purpose of this paper is to study anti-invariant Riemannian submersions from Sasakian manifolds onto Riemannian manifolds such that characteristic vector field is vertical or horizontal vector field. We first show that any anti-invariant Riemannian submersions from Sasakian manifold is not a Riemannian submersion with totally umbilical fiber. Then we introduce anti-invariant Riemannian submersions from Sasakian manifolds with totally contact umbilical fibers. We investigate the totally contact geodesicity of fibers of such submersions. Moreover, under this condition, we investigate Ricci c

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ETAYO, FERNANDO, ARACELI DEFRANCISCO, and RAFAEL SANTAMARÍA. "Classification of pure metallic metric geometries." Carpathian Journal of Mathematics 38, no. 2 (2022): 417–29. http://dx.doi.org/10.37193/cjm.2022.02.12.

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Metallic Riemannian manifolds with null trace and metallic Norden manifolds are generalizations of almost product Riemannian and almost golden Riemannian manifolds with null trace and almost Norden and almost Norden golden manifolds respectively. All these pure metrics geometries can be unified under the notion of α-metallic metric manifold. We classify this kind of manifolds in a consistent way with the well-known classifications of almost product Riemannian manifolds with null trace and almost Norden manifolds. We also characterize all classes of α-metallic metric manifolds by means of the f

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Kumar, Sushil, Rajendra Prasad, Abdul Haseeb, and Punit Kumar Sıngh. "A note on pointwise quasi hemi-slant submersions." Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 74, no. 2 (2025): 200–209. https://doi.org/10.31801/cfsuasmas.1545937.

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As a generalization of hemi-slant and semi-slant submersions, we discuss pointwise quasi Hemi-slant (PQHS) submersions from almost Hermitian manifolds onto Riemannian manifolds. We obtain various results satisfied by these submersions from Kähler manifolds onto Riemannian manifolds. Moreover, we find necessary and sufficient conditions on integrability of the distributions, and explore the geometry of totally geodesic foliations of discussed submersions. At last, we construct some examples of a PQHS submersion from an almost Hermitian manifold onto a Riemannian manifold.

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Ṣahin, Bayram. "Semi-invariant Submersions from Almost Hermitian Manifolds." Canadian Mathematical Bulletin 56, no. 1 (2013): 173–83. http://dx.doi.org/10.4153/cmb-2011-144-8.

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AbstractWe introduce semi-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations that arise from the definition of a Riemannian submersion, and find necessary sufficient conditions for total manifold to be a locally product Riemannian manifold. We also find necessary and sufficient conditions for a semi-invariant submersion to be totally geodesic. Moreover, we obtain a classification for semiinvariant submersions with totally umbilical fibers and show that such submersions put some restrictions on tot

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Prasad, Rajendra, та Pooja Gupta. "Generic ξ⊥-Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds". Filomat 38, № 18 (2024): 6477–91. https://doi.org/10.2298/fil2418477p.

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The goal of this article is to define and investigate the generic ??-Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds along with the examples. We also examine the integra- bility as well as totally geodesicness of distributions involved in the definition of a generic ??-Riemannian submersion. Along with it, we obtain decomposition theorems of this submersion. Furthermore, necessary and sufficient conditions for the base manifold to be a local product manifold are obtained. In addition with it, we also explore the totally umbilical nature of generic ??-Riemannian submers

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Karakaş, Köprülü, and Bayram Şahin. "Biharmonic curves along Riemannian maps." Filomat 38, no. 1 (2024): 227–39. http://dx.doi.org/10.2298/fil2401227k.

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In this paper, the transformation of a bi-harmonic curve on the total manifold into a bi-harmonic curve on the base manifold along a Riemannian map between Riemannian manifolds is examined. In this direction, first, necessary and sufficient conditions are obtained for the Riemannian map between two Riemannian manifolds for the curve on the total manifold to be bi-harmonic curve on the base manifold. Afterwards, the case that the total manifold is a complex space form was taken into consideration and the bi-harmonic character of the curve on the base manifold was examined by considering appropr

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Dissertations / Theses on the topic "Riemannian manifolds"

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Erb, Wolfgang. "Uncertainty principles on Riemannian manifolds." kostenfrei, 2010. https://mediatum2.ub.tum.de/node?id=976465.

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Dunn, Corey. "Curvature homogeneous pseudo-Riemannian manifolds /." view abstract or download file of text, 2006. http://proquest.umi.com/pqdweb?did=1188874491&sid=3&Fmt=2&clientId=11238&RQT=309&VName=PQD.

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Thesis (Ph. D.)--University of Oregon, 2006.<br>Typescript. Includes vita and abstract. Includes bibliographical references (leaves 146-147). Also available for download via the World Wide Web; free to University of Oregon users.

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Longa, Eduardo Rosinato. "Hypersurfaces of paralellisable Riemannian manifolds." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2017. http://hdl.handle.net/10183/158755.

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Introduzimos uma aplicação de Gauss para hipersuperfícies de variedades Riemannianas paralelizáveis e definimos uma curvatura associada. Após, provamos um teorema de Gauss-Bonnet. Como exemplo, estudamos cuidadosamente o caso no qual o espaço ambiente é uma esfera Euclidiana menos um ponto e obtemos um teorema de rigidez topológica. Ele é utilizado para dar uma prova alternativa para um teorema de Qiaoling Wang and Changyu Xia, o qual afirma que se uma hipersuperfície orientável imersa na esfera está contida em um hemisfério aberto e tem curvatura de Gauss-Kronecker nãonula então ela é difeomo

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Catalano, Domenico Antonino. "Concircular diffeomorphisms of pseudo-Riemannian manifolds /." [S.l.] : [s.n.], 1999. http://e-collection.ethbib.ethz.ch/show?type=diss&nr=13064.

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Afsari, Bijan. "Means and averaging on riemannian manifolds." College Park, Md. : University of Maryland, 2009. http://hdl.handle.net/1903/9978.

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Thesis (Ph.D.) -- University of Maryland, College Park, 2009.<br>Thesis research directed by: Dept. of Mathematics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.

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Popiel, Tomasz. "Geometrically-defined curves in Riemannian manifolds." University of Western Australia. School of Mathematics and Statistics, 2007. http://theses.library.uwa.edu.au/adt-WU2007.0119.

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[Truncated abstract] This thesis is concerned with geometrically-defined curves that can be used for interpolation in Riemannian or, more generally, semi-Riemannian manifolds. As in much of the existing literature on such curves, emphasis is placed on manifolds which are important in computer graphics and engineering applications, namely the unit 3-sphere S3 and the closely related rotation group SO(3), as well as other Lie groups and spheres of arbitrary dimension. All geometrically-defined curves investigated in the thesis are either higher order variational curves, namely critical points o

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Desa, Zul Kepli Bin Mohd. "Riemannian manifolds with Einstein-like metrics." Thesis, Durham University, 1985. http://etheses.dur.ac.uk/7571/.

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In this thesis, we investigate properties of manifolds with Riemannian metrics which satisfy conditions more general than those of Einstein metrics, including the latter as special cases. The Einstein condition is well known for being the Euler- Lagrange equation of a variational problem. There is not a great deal of difference between such metrics and metrics with Ricci tensor parallel for the latter are locally Riemannian products of the former. More general classes of metrics considered include Ricci- Codazzi and Ricci cyclic parallel. Both of these are of constant scalar curvature. Our stu

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Parmar, Vijay K. "Harmonic morphisms between semi-Riemannian manifolds." Thesis, University of Leeds, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.305696.

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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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Ndiaye, Cheikh Birahim. "Geometric PDEs on compact Riemannian manifolds." Doctoral thesis, SISSA, 2007. http://hdl.handle.net/20.500.11767/4088.

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In this thesis, some nonlinear problems coming from conformal geometry and physics, namely the prescription of Q-curvature, T-curvature ones and the generalized 2×2 Toda system are studied. We study also the existence of extremal functions of two Moser-Trudinger type inequalities (which is a common feature of those problems) due to Fontana[40] and Chang-Yang[23].

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Books on the topic "Riemannian manifolds"

1

Lee, John M. Riemannian Manifolds. Springer New York, 1997. http://dx.doi.org/10.1007/b98852.

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Lee, John M. Introduction to Riemannian Manifolds. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91755-9.

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Tondeur, Philippe. Foliations on Riemannian Manifolds. Springer New York, 1988. http://dx.doi.org/10.1007/978-1-4613-8780-0.

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Lang, Serge, ed. Differential and Riemannian Manifolds. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-4182-9.

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Tondeur, Philippe. Foliations on Riemannian manifolds. Springer-Verlag, 1988.

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Lang, Serge. Differential and Riemannian manifolds. Springer-Verlag, 1995.

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Hebey, Emmanuel. Sobolev Spaces on Riemannian Manifolds. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/bfb0092907.

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Berestovskii, Valerii, and Yurii Nikonorov. Riemannian Manifolds and Homogeneous Geodesics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-56658-6.

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Min, Ji. Minimal surfaces in Riemannian manifolds. American Mathematical Society, 1993.

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Hebey, Emmanuel. Sobolev spaces on Riemannian manifolds. Springer-Verlag, 1996.

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Book chapters on the topic "Riemannian manifolds"

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Torres del Castillo, Gerardo F. "Riemannian Manifolds." In Differentiable Manifolds. Birkhäuser Boston, 2012. http://dx.doi.org/10.1007/978-0-8176-8271-2_6.

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Torres del Castillo, Gerardo F. "Riemannian Manifolds." In Differentiable Manifolds. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45193-6_6.

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Godinho, Leonor, and José Natário. "Riemannian Manifolds." In Universitext. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-08666-8_3.

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DeWitt, Bryce, and Steven M. Christensen. "Riemannian Manifolds." In Bryce DeWitt's Lectures on Gravitation. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-540-36911-0_4.

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Saller, Heinrich. "Riemannian Manifolds." In Operational Spacetime. Springer New York, 2009. http://dx.doi.org/10.1007/978-1-4419-0898-8_3.

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Wells, Raymond O. "Riemannian Manifolds." In Differential and Complex Geometry: Origins, Abstractions and Embeddings. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-58184-2_13.

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Burago, Yuriĭ Dmitrievich, and Viktor Abramovich Zalgaller. "Riemannian Manifolds." In Geometric Inequalities. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-662-07441-1_6.

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Berestovskii, Valerii, and Yurii Nikonorov. "Riemannian Manifolds." In Springer Monographs in Mathematics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-56658-6_1.

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Kühnel, Wolfgang. "Riemannian manifolds." In The Student Mathematical Library. American Mathematical Society, 2005. http://dx.doi.org/10.1090/stml/016/05.

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Aubin, Thierry. "Riemannian manifolds." In Graduate Studies in Mathematics. American Mathematical Society, 2000. http://dx.doi.org/10.1090/gsm/027/06.

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Conference papers on the topic "Riemannian manifolds"

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Sadique, Joarder Jafor, Imtiaz Nasim, and Ahmed S. Ibrahim. "Radar Sensing via Geometric Machine Learning Over Riemannian Manifolds." In 2024 6th International Conference on Communications, Signal Processing, and their Applications (ICCSPA). IEEE, 2024. https://doi.org/10.1109/iccspa61559.2024.10794182.

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Yu, Xinhao, and Anthony D. Kennedy. "On the geometric convergence of HMC on Riemannian manifolds." In The 41st International Symposium on Lattice Field Theory. Sissa Medialab, 2025. https://doi.org/10.22323/1.466.0064.

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Sadique, Joarder Jafor, and Ahmed S. Ibrahim. "LEO Satellite Sensing Using Support Vector Machine Over Riemannian Manifolds." In SoutheastCon 2025. IEEE, 2025. https://doi.org/10.1109/southeastcon56624.2025.10971590.

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Zhu, Pengfei, Hao Cheng, Qinghua Hu, Qilong Wang, and Changqing Zhang. "Towards Generalized and Efficient Metric Learning on Riemannian Manifold." In Twenty-Seventh International Joint Conference on Artificial Intelligence {IJCAI-18}. International Joint Conferences on Artificial Intelligence Organization, 2018. http://dx.doi.org/10.24963/ijcai.2018/449.

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Modeling data as points on non-linear Riemannian manifold has attracted increasing attentions in many computer vision tasks, especially visual recognition. Learning an appropriate metric on Riemannian manifold plays a key role in achieving promising performance. For widely used symmetric positive definite (SPD) manifold and Grassmann manifold, most of existing metric learning methods are designed for one manifold, and are not straightforward for the other one. Furthermore, optimizations in previous methods usually rely on computationally expensive iterations. To address above limitations, this

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OU, YE-LIN. "BIHARMONIC MORPHISMS BETWEEN RIEMANNIAN MANIFOLDS." In Differential Geometry in Honor of Professor S S Chern. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792051_0018.

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Snoussi, Hichem, and Ali Mohammad-Djafari. "Particle Filtering on Riemannian Manifolds." In Bayesian Inference and Maximum Entropy Methods In Science and Engineering. AIP, 2006. http://dx.doi.org/10.1063/1.2423278.

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KASHANI, S. M. B. "ON COHOMOGENEITY ONE RIEMANNIAN MANIFOLDS." In Proceedings of the Summer School. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812810571_0010.

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Brendle, Simon, and Richard Schoen. "Riemannian Manifolds of Positive Curvature." In Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0021.

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Elworthy, K. D., and Feng-Yu Wang. "Essential spectrum on Riemannian manifolds." In Proceedings of the First Sino-German Conference on Stochastic Analysis (A Satellite Conference of ICM 2002). WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702241_0010.

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Yi Wu, Bo Wu, Jia Liu, and Hanqing Lu. "Probabilistic tracking on Riemannian manifolds." In 2008 19th International Conference on Pattern Recognition (ICPR). IEEE, 2008. http://dx.doi.org/10.1109/icpr.2008.4761046.

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Reports on the topic "Riemannian manifolds"

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Bozok, Hülya Gün. Bi-slant Submersions from Kenmotsu Manifolds onto Riemannian Manifolds. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, 2020. http://dx.doi.org/10.7546/crabs.2020.03.05.

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Chiang, Yuan-Jen. f-biharmonic Maps Between Riemannian Manifolds. GIQ, 2013. http://dx.doi.org/10.7546/giq-14-2013-74-86.

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Dušek, Zdenek. Examples of Pseudo-Riemannian G.O. Manifolds. GIQ, 2012. http://dx.doi.org/10.7546/giq-8-2007-144-155.

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Chiang, Yuan-Jen. f-biharmonic Maps Between Riemannian Manifolds. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-27-2012-45-58.

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Mirzaei, Reza. Cohomogeneity Two Riemannian Manifolds of Non-Positive Curvature. GIQ, 2012. http://dx.doi.org/10.7546/giq-13-2012-233-244.

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Iyer, R. V., R. Holsapple, and D. Doman. Optimal Control Problems on Parallelizable Riemannian Manifolds: Theory and Applications. Defense Technical Information Center, 2002. http://dx.doi.org/10.21236/ada455175.

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R. Mirzaie. Topological Properties of Some Cohomogeneity on Riemannian Manifolds of Nonpositive Curvature. GIQ, 2012. http://dx.doi.org/10.7546/giq-3-2002-351-359.

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Tanimura, Shogo. Path Integrals on Riemannian Manifolds with Symmetry and Stratified Gauge Structure. GIQ, 2012. http://dx.doi.org/10.7546/giq-3-2002-431-441.

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Zohrehvand, Mosayeb. IFHP Transformations on the Tangent Bundle of a Riemannian Manifold with a Class of Pseudo-Riemannian Metrics. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, 2020. http://dx.doi.org/10.7546/crabs.2020.02.04.

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Sirley Marques-Bonham. A new way to interpret the Dirac equation in a non-Riemannian manifold. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/6026405.

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