Results 11 to 20 of about 379,230 (325)
Constructing hyperbolic manifolds [PDF]
, 2000 8 pages, proceedings ...
Brent Everitt, Colin M. MacLachlan
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Mass Rigidity for Hyperbolic Manifolds [PDF]
Communications in Mathematical Physics, 2019 We prove the rigidity of the positive mass theorem for asymptotically hyperbolic manifolds. Namely, if the mass equality $$p_0=\sqrt{p_1^2+\cdots + p_n^2}$$ p 0 = p 1 2 + ⋯ + p n 2 holds, then the manifold is isometric to hyperbolic space. The result was
Lan-Hsuan Huang +2 more
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Modeling Tree-like Heterophily on Symmetric Matrix Manifolds [PDF]
EntropyTree-like structures, characterized by hierarchical relationships and power-law distributions, are prevalent in a multitude of real-world networks, ranging from social networks to citation networks and protein–protein interaction networks.
Yang Wu, Liang Hu, Juncheng Hu
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Cones Embedded in Hyperbolic Manifolds [PDF]
Journal of Differential Geometry, 2001 In was shown by \textit{D. Gabai, R. Meyerhoff} and \textit{N. Thurston} [Ann. Math. (2) 157, 335--431 (2003; Zbl 1052.57019)], that every closed orientable hyperbolic 3-manifold except Vol3 contains an embedded tube of radius at least \(0.52959\ldots\) about the shortest geodesic, and if the shortest geodesic has length at most \(1.0595\ldots\), there
Andrew Przeworski
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Hyperbolic Ricci-Bourguignon-Harmonic Flow [PDF]
Mathematics Interdisciplinary Research, 2022 In this paper, we consider hyperbolic Ricci-Bourguignon flow on a compact Riemannian manifold M coupled with the harmonic map flow between M and a fixed manifold N. At the first, we prove the unique short-time existence to solution of this system.
Shahrood Azami
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Equivariant hierarchically hyperbolic structures for 3-manifold groups via quasimorphisms [PDF]
Annales de l'Institut Fourier, 2022 Behrstock, Hagen, and Sisto classified 3-manifold groups admitting a hierarchically hyperbolic space structure. However, these structures were not always equivariant with respect to the group.
M. Hagen +3 more
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Hyperbolic Deep Learning in Computer Vision: A Survey [PDF]
International Journal of Computer Vision, 2023 Deep representation learning is a ubiquitous part of modern computer vision. While Euclidean space has been the de facto standard manifold for learning visual representations, hyperbolic space has recently gained rapid traction for learning in computer ...
Pascal Mettes +4 more
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Big Picard theorems and algebraic hyperbolicity for varieties admitting a variation of Hodge structures [PDF]
Épijournal de Géométrie Algébrique, 2023 In this paper, we study various hyperbolicity properties for a quasi-compact K\"ahler manifold $U$ which admits a complex polarized variation of Hodge structures so that each fiber of the period map is zero-dimensional.
Ya Deng
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A Hyperbolic-to-Hyperbolic Graph Convolutional Network [PDF]
Computer Vision and Pattern Recognition, 2021 Hyperbolic graph convolutional networks (GCNs) demonstrate powerful representation ability to model graphs with hierarchical structure. Existing hyperbolic GCNs resort to tangent spaces to realize graph convolution on hyperbolic manifolds, which is ...
Jindou Dai, Yuwei Wu, Zhi Gao, Yunde Jia
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Counting Hyperbolic Manifolds [PDF]
Geometrical and Functional Analysis GAFA, 2002 Geometric and Functional Analysis, 12 (6)
Burger, M. +3 more
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