Academic literature on the topic 'Gromov compacity'

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Journal articles on the topic "Gromov compacity"

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La Nave, Gabriele, and Chih-Chung Liu. "The Gromov limit for vortex moduli spaces." Reviews in Mathematical Physics 31, no. 02 (2019): 1950004. http://dx.doi.org/10.1142/s0129055x19500041.

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We generalize the descriptions of vortex moduli spaces in [4] to more than one section with adiabatic constant [Formula: see text]. The moduli space is topologically independent of [Formula: see text] but is not compact with respect to [Formula: see text] topology. Following [17], we construct a Gromov limit for vortices of fixed energy, and attempt to compactify the moduli space via bubble trees with possibly conical bubbles (or raindrops).
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RUGGIERO, RAFAEL OSWALDO. "Topological stability and Gromov hyperbolicity." Ergodic Theory and Dynamical Systems 19, no. 1 (1999): 143–54. http://dx.doi.org/10.1017/s0143385799120959.

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We show that if the geodesic flow of a compact analytic Riemannian manifold $M$ of non-positive curvature is either $C^{k}$-topologically stable or satisfies the $\epsilon$-$C^{k}$-shadowing property for some $k > 0$ then the universal covering of $M$ is a Gromov hyperbolic space. The same holds for compact surfaces without conjugate points.
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CAO, JIANGUO. "CHEEGER ISOPERIMETRIC CONSTANTS OF GROMOV-HYPERBOLIC SPACES WITH QUASI-POLES." Communications in Contemporary Mathematics 02, no. 04 (2000): 511–33. http://dx.doi.org/10.1142/s0219199700000232.

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Let X be a non-compact complete manifold (or a graph) which admits a quasi-pole and has bounded local geometry. Suppose that X is Gromov-hyperbolic and the diameters (for a fixed Gromov metric) of the connected components of X(∞) have a positive lower bound. Under these assumptions we show that X has positive Cheeger isoperimetric constant. Examples are also constructed to show that the Cheeger constant h(X) may be zero if any of the above assumption on X is removed. Applications of this isoperimetric estimate include the solvability of the Dirichlet problem at infinity for non-compact Gromov-
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Katz, Gabriel. "Complexity of shadows and traversing flows in terms of the simplicial volume." Journal of Topology and Analysis 08, no. 03 (2016): 501–43. http://dx.doi.org/10.1142/s1793525316500217.

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We combine Gromov’s amenable localization technique with the Poincaré duality to study the traversally generic vector flows on smooth compact manifolds [Formula: see text] with boundary. Such flows generate well-understood stratifications of [Formula: see text] by the trajectories that are tangent to the boundary in a particular canonical fashion. Specifically, we get lower estimates of the numbers of connected components of these flow-generated strata of any given codimension. These universal bounds are basically expressed in terms of the normed homology of the fundamental groups [Formula: se
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Zhang, Dong, Bohui Chen, and Cheng-Yong Du. "A quantum modification of relative cohomology." International Journal of Geometric Methods in Modern Physics 12, no. 02 (2015): 1550021. http://dx.doi.org/10.1142/s0219887815500218.

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In this paper, we give a quantum modification of the relative cup product on H*(X, S;ℝ) by using Gromov–Witten invariants when S is a compact codimension 2k symplectic submanifold of the compact symplectic manifold (X, ω).
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Tonita, Valentin. "Twisted orbifold Gromov–Witten invariants." Nagoya Mathematical Journal 213 (March 2014): 141–87. http://dx.doi.org/10.1017/s0027763000026210.

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AbstractLetχbe a smooth proper Deligne–Mumford stack over ℂ. One can define twisted orbifold Gromov–Witten invariants ofχby considering multiplicative invertible characteristic classes of various bundles on the moduli spaces of stable mapsχg,n,d, cupping them with evaluation and cotangent line classes, and then integrating against the virtual fundamental class. These are more general than the twisted invariants introduced by Tseng. We express the generating series of the twisted invariants in terms of the generating series of the untwisted ones. We derive the corollaries which are used in a pa
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Bowers, Philip L., та Kim Ruane. "Boundaries of nonpositively curved groups of the form G × ℤn". Glasgow Mathematical Journal 38, № 2 (1996): 177–89. http://dx.doi.org/10.1017/s0017089500031414.

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The introduction of curvature considerations in the past decade into Combinatorial Group Theory has had a profound effect on the study of infinite discrete groups. In particular, the theory of negatively curved groups has enjoyed significant and extensive development since Cannon's seminal study of cocompact hyperbolic groups in the early eighties [7]. Unarguably the greatest influence on the direction of this development has been Gromov's tour de force, his foundational essay in [12] entitled Hyperbolic Groups. Therein Gromov hints at the prospect of developing a corresponding theory of “non-
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Tonita, Valentin. "Twisted orbifold Gromov–Witten invariants." Nagoya Mathematical Journal 213 (March 2014): 141–87. http://dx.doi.org/10.1215/00277630-2393950.

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AbstractLet χ be a smooth proper Deligne–Mumford stack over ℂ. One can define twisted orbifold Gromov–Witten invariants of χ by considering multiplicative invertible characteristic classes of various bundles on the moduli spaces of stable maps χg,n,d, cupping them with evaluation and cotangent line classes, and then integrating against the virtual fundamental class. These are more general than the twisted invariants introduced by Tseng. We express the generating series of the twisted invariants in terms of the generating series of the untwisted ones. We derive the corollaries which are used in
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Plaut, Conrad, and Jay Wilkins. "Essential circles and Gromov–Hausdorff convergence of covers." Journal of Topology and Analysis 08, no. 01 (2016): 89–115. http://dx.doi.org/10.1142/s1793525316500047.

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The [Formula: see text]-covers of Sormani–Wei ([20]) are known not to be “closed” with respect to Gromov–Hausdorff convergence. In this paper we use the essential circles introduced in [19] to define a larger class of covering maps of compact geodesic spaces called “circle covers” that are “closed” with respect to Gromov–Hausdorff convergence and include [Formula: see text]-covers. In fact, we use circle covers to completely understand the limiting behavior of [Formula: see text]-covers. The proofs use the descrete homotopy methods developed by Berestovskii, Plaut, and Wilkins, and in fact we
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Kawamura, Kazuhiro. "A Characterization of LCn Compacta in Terms of Gromov-Hausdorff Convergence." Canadian Mathematical Bulletin 37, no. 4 (1994): 505–13. http://dx.doi.org/10.4153/cmb-1994-073-9.

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AbstractIt is proved that a compactum is locally n-connected if and only if it is the limit (in the sense of Gromov-Hausdorff convergence) of an "equi-locally n-connected" sequence of (at most) (n + 1)-dimensional compacta.
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Dissertations / Theses on the topic "Gromov compacity"

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Tashiro, Kenshiro. "Gromov-Hausdorff limits of compact Heisenberg manifolds with sub-Riemannian metrics." Doctoral thesis, Kyoto University, 2021. http://hdl.handle.net/2433/263433.

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Emprin, Gustave. "Une topologie pour les arbres labellés, application aux arbres aléatoires s-compacts." Thesis, Paris Est, 2019. http://www.theses.fr/2019PESC1032.

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Dans cette thèse, nous développons un nouvel espace pour l'étude des espaces métriques labellés et mesurés, dans l'optique de décrire des arbres généalogiques dont la racine est infiniment ancienne. Dans ces arbres, le temps est représenté par une fonction label qui est 1-Lipschitz. On appelle espace métrique labellé S-compact et mesuré tout espace métrique E équipé d'une mesure nu et d'une fonction-label 1-Lipschitz de E dans R, avec la condition supplémentaire que chaque tranche (l'ensemble des points de E dont le label appartient à un compact de R) doit être compact et avoir mesure finie. O
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Merlin, Louis. "Entropie minimale des espaces localement symétriques." Thesis, Bordeaux, 2014. http://www.theses.fr/2014BORD0110/document.

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Nous donnons dans cette thèse une preuve du problème de l’entropie volumique minimale dans les quotients compacts de H2_H2. Une conjecture de Gromov et Katok prétend en effet que, sur un espace localement symétrique (M; g0), la métrique de plus petite entropie volumique parmi les métriques de volume fixé est la métrique g0. Le texte se veut relativement abordable. C’est pourquoi nous avons intégré un premier chapitre qui contient une bonne partie du matériel qui sera utilisé par la suite. Puis nous passons en revue les preuves des différents cas du problème déjà traités. Le cas des quotients c
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Carrasco, Piaggio Matias. "Jauge conforme des espaces métriques compacts." Phd thesis, Université de Provence - Aix-Marseille I, 2011. http://tel.archives-ouvertes.fr/tel-00645284.

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L'objet principal de cette thèse est l'étude de la dimension conforme Ahlfors régulière ($\dim_{AR}X$) d'un espace métrique $X$. C'est un invariant numérique par quasisymétrie, introduit par P.\,Pansu, permettant la classification à quasi-isométrie près des espaces homogénes de courbure négative. Elle joue actuellement un rôle important en théorie géométrique des groupes et en dynamique conforme. A partir d'une suite de recouvrements d'un espace métrique compact $\left(X,d\right)$, on construit des distances de dimension contrôlée appartenant à la jauge conforme (Ahlfors régulière). On peut ai
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Létourneau, Vincent. "Cobordismes lagrangiens et uniréglage." Thèse, 2014. http://hdl.handle.net/1866/11680.

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Ce mémoire traite de la question suivante: est-ce que les cobordismes lagrangiens préservent l'uniréglage? Dans les deux premiers chapitres, on présente en survol la théorie des courbes pseudo-holomorphes nécessaire. On examine d'abord en détail la preuve que les espaces de courbes $ J $-holomorphes simples est une variété de dimension finie. On présente ensuite les résultats nécessaires à la compactification de ces espaces pour arriver à la définition des invariants de Gromov-Witten. Le troisième chapitre traite ensuite de quelques résultats sur la propriété d'uniréglage, ce qu'elle entraine
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Zoghi, Masrour. "The Gromov Width of Coadjoint Orbits of Compact Lie Groups." Thesis, 2010. http://hdl.handle.net/1807/26269.

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The first part of this thesis investigates the Gromov width of maximal dimensional coadjoint orbits of compact simple Lie groups. An upper bound for the Gromov width is provided for all compact simple Lie groups but only for those coadjoint orbits that satisfy a certain technical assumption, whereas the lower bound is proved only for groups of type A, but without the technical restriction. The two bounds use very different techniques: the proof of the upper bound uses more analytical tools, while the proof of the lower bound is more geometric. The second part of the thesis is a short report
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REVIRON, Guillemette. "Espaces de longueur d'entropie majorée : rigidité topologique, adhérence des variétés, noyau de la chaleur." Phd thesis, 2005. http://tel.archives-ouvertes.fr/tel-00009203.

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Un problème classique est d'identifier des sous-ensembles (pré)compacts de l'ensemble des espaces métriques de longueur (la distance entre deux espaces étant celle de Gromov-Hausdorff) et d'y étudier la continuité, la rigidité ou la « bornitude » de certains invariants. Habituellement, on considère l'ensemble <B>R</B><sub><I>n,K,D</I></SUB> des variétés de dimension, courbure et diamètre bornés (par <I>n</I>, -<I>K</I><SUP>2</SUP> et <I>D</I>), qui n'est pas complet (la « bornitude » n'y découle donc pas d'une preuve unifiée de type compacité/continuité). Nous nous affranchissons des hypothèse
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Book chapters on the topic "Gromov compacity"

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Mishra, Sikha, Soumya S. Mohanty, Subhashree Bhol, and Guru Prasad Mishra. "A Compact Analytical Model and Electrostatic Performance Investigation of Multilayer Groove Gate SOI-MOSFET." In ICICCT 2019 – System Reliability, Quality Control, Safety, Maintenance and Management. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-8461-5_86.

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Lu, Guangcun. "Gromov-Witten invariants on compact symplectic manifolds with contact type boundaries and applications." In Progress In Nonlinear Analysis. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792730_0017.

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Conference papers on the topic "Gromov compacity"

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Ryu, Ho-Wan, Hune-Tae Kim, Jae-Jun Han, et al. "Effects of Side Groove on Fracture Toughness." In ASME 2015 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/pvp2015-45731.

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This paper describes ductile tearing simulation for compact tension (C(T)) specimens using FE damage analysis based on the stress-modified fracture strain model. The side groove effect on J-resistance curve was estimated by experimental and analytical ways. In this paper, SA508 Grade 1A low alloy steel pipe material was considered. Tensile and C(T) specimens are simulated to determine the failure criteria with finite element method. Then, different shapes of C(T) specimens are analysed and the results from simulations are compared with test data for verification of proposed method. Overall, th
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Yamamoto, S., H. Deguchi, and M. Tsuji. "Compact groove-loaded rectangular horn with elliptical beam for orthogonal polarization use." In 2011 IEEE Antennas and Propagation Society International Symposium and USNC/URSI National Radio Science Meeting. IEEE, 2011. http://dx.doi.org/10.1109/aps.2011.6058694.

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Wang, Enlin, Tianling Zhang, Lei Chen, Ashraf Uz Zaman, and Jian Yang. "A Compact Double-Layer Groove Gap Waveguide Power Divider with High Isolation." In 2020 14th European Conference on Antennas and Propagation (EuCAP). IEEE, 2020. http://dx.doi.org/10.23919/eucap48036.2020.9135741.

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Razavi, S. A., and A. U. Zaman. "A Compact Phase Shifter in Groove Gap Waveguide for Millimeter-wave Applications." In 12th European Conference on Antennas and Propagation (EuCAP 2018). Institution of Engineering and Technology, 2018. http://dx.doi.org/10.1049/cp.2018.0571.

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Hara, Kenji, Junichi Sakano, Hironobu Honda, Junichi Aizawa, and Taiga Arai. "New low-resistance and compact MOSFETs for analog switch ICs with V-groove dielectric isolation." In IC's (ISPSD). IEEE, 2011. http://dx.doi.org/10.1109/ispsd.2011.5890783.

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Ishiyama, Junya, Kozo Fujii, Kengo Asada, Satoshi Sekimoto, Masataka Koishi, and Toshiyuki Ikeda. "Evaluations of Shape Parameter of Groove for Reducing Noise Generated From Rotating Tires." In ASME-JSME-KSME 2019 8th Joint Fluids Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/ajkfluids2019-5138.

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Abstract Acoustic fields obtained by large-eddy simulations around a rotating tire with the grooves are investigated to clarify the relationships between the shape parameters of the grooves and the directivity of noise sound. To acquire acoustic field around the rotating tire, the large-eddy simulations using the sixth-order compact finite difference scheme and the tridiagonal filter are performed. The sixteen cases including the non-groove case are considered in the present study. To evaluate the acoustic noise from the groove, the sound pressure level (SPL) of each point is computed, and the
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Dessiatoun, Serguei, Sourav Chowdhury, Ebrahim Al-Hajri, Edvin Cetegen, and Michael Ohadi. "Studies on Condensation of Refrigerants in a High Aspect Ratio Microchannel and in a Novel Micro-Groove Surface Heat Exchanger: Development of Micro-Condensers in Compact Two Phase Cooling Systems." In ASME 2007 5th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2007. http://dx.doi.org/10.1115/icnmm2007-30179.

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Three different refrigerants, R134a, R245fa and HFE7100 were analyzed as working fluids for two-phase cooling of high heat flux electronics in a 0.7 mm hydraulic diameter 190 mm long high aspect ratio minichannel and in a newly developed micro-groove surface condenser. The latter comprised of a micro-groove surface with rectangular grooves of 84 μm in hydraulic diameter with an aspect ratio of 10.6 and headers that directed the refrigerant flow into the grooves. It was concluded that in the minichannel R245fa provides higher heat transfer coefficients compared to R134a with a significantly hig
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Ochiai, Masayuki, and Hiromu Hashimoto. "Experimental Study of Stabilisation of Small Size Journal Bearing With Oil Supply Groove by Using Starved Lubrication and Bearing Orientation Angle Change." In ASME/STLE 2007 International Joint Tribology Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/ijtc2007-44070.

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Journal bearings are widely used for supporting high speed rotating machinery such as turbine, compressor and HDD spindle etc, because of their high load carrying capacity, stability and durability. Recently, the engineering trend is oriented to higher speed and smaller sizes of rotating machinery, and then it is important to enhance stabilities for the journal bearings. Tilting pad journal bearing is generally used for high-speed rotating machineries because of their advantages of stabilization. However, there are some problems using for compact size rotating machineries for their high manufa
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Kimoto, Kenta, Hitoshi Asano, Masafumi Sakurai, Tetsuro Hamada, Makoto Hirotsu, and Sakiko Kimura. "Effect of Surface Roughness and Micro-Grooves on Condensed Water Removal in Latent Heat Recovery Heat Exchanger." In ASME 2011 Power Conference collocated with JSME ICOPE 2011. ASMEDC, 2011. http://dx.doi.org/10.1115/power2011-55389.

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Hot-water supply has high percentage of energy consumption in Japanese civilian sector. Gas water heaters are used in most cases. Therefore, improvement in thermal efficiency of a gas water heater is an important issue for energy saving. In order to improve thermal efficiency of a gas water heater, an additional heat exchanger is required for latent heat recovery from exhaust humid combustion. The purpose of this study is to develop a compact latent heat recovery heat exchanger with a simple configuration. It is necessary for compactness to reduce the gap between the heat transfer tubes. Howev
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Alexandreanu, Bogdan, Omesh K. Chopra, and William J. Shack. "Crack Growth Rates of Nickel Alloy Welds in a PWR Environment." In ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/pvp2006-icpvt-11-93594.

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A program is being conducted at Argonne National Laboratory to evaluate the resistance of Ni alloys and their welds to environmentally assisted cracking in simulated LWR coolant environments. This paper presents crack growth rate (CGR) results for Alloy 182 shielded-metal-arc weld metal in a simulated pressurized water reactor (PWR) environment at 320°C. Crack growth tests were conducted on 1–T compact tension specimens with different weld orientations from both double-J and deep-groove welds. The results indicate little or no environmental enhancement of fatigue CGRs of Alloy 182 weld metal i
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