Results 11 to 20 of about 71,314 (310)
Homotopy hyperbolic 3-manifolds are hyperbolic [PDF]
Annals of Mathematics, 2003 This paper introduces a rigorous computer-assisted procedure for analyzing hyperbolic 3-manifolds. This procedure is used to complete the proof of several long-standing rigidity conjectures in 3-manifold theory as well as to provide a new lower bound for
Gabai, David +2 more
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Mass rigidity for hyperbolic manifolds [PDF]
Communications in Mathematical Physics, 2019 We prove the rigidity of positive mass theorem for asymptotically hyperbolic manifolds. Namely, if the mass equality holds, then the manifold is isometric to hyperbolic space.
Huang, Lan-Hsuan +2 more
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Embedding closed hyperbolic 3–manifolds in small volume hyperbolic 4–manifolds [PDF]
Algebraic & Geometric Topology, 2021 In this paper we study existence and lack thereof of closed embedded orientable co-dimension one totally geodesic submanifolds of minimal volume cusped orientable hyperbolic manifolds.
Chu, Michelle, Reid, Alan W.
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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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Systoles of hyperbolic manifolds [PDF]
Algebraic & Geometric Topology, 2011 We show that for every $n\geq 2$ and any $ >0$ there exists a compact hyperbolic $n$-manifold with a closed geodesic of length less than $ $. When $ $ is sufficiently small these manifolds are non-arithmetic, and they are obtained by a generalised inbreeding construction which was first suggested by Agol for $n=4$. We also show that for $n\geq 3$
Belolipetsky, Mikhail V +1 more
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Constructing hyperbolic manifolds [PDF]
, 2000 8 pages, proceedings ...
Everitt, Brent, Maclachlan, Colin
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Flexing closed hyperbolic manifolds [PDF]
Geometry & Topology, 2007 As remarked in [\textit{R. E. Schwartz}, Ann. Math. (2) 153, No. 3, 533--598 (2001; Zbl 1055.20040)], it is a basic problem to understand how discrete faithful representations \(\rho:\Gamma\to G_0\) can be deformed if one extends the Lie group \(G_0\) to a larger group \(G_1\).
Cooper, Daryl +2 more
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Jurnal Matematika, 2016 The object of the present paper is to initiate the study contact CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection.
Shamsur Rahman
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A hyperbolic analogue of the Atiyah-Hitchin manifold
Journal of High Energy Physics, 2022 The Atiyah-Hitchin manifold is the moduli space of parity inversion symmetric charge two SU(2) monopoles in Euclidean space. Here a hyperbolic analogue is presented, by calculating the boundary metric on the moduli space of parity inversion symmetric ...
Paul Sutcliffe
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A geometrically bounding hyperbolic link complement [PDF]
, 2015 A finite-volume hyperbolic 3-manifold geometrically bounds if it is the geodesic boundary of a finite-volume hyperbolic 4-manifold. We construct here an example of non-compact, finite-volume hyperbolic 3-manifold that geometrically bounds. The 3-manifold
Slavich, Leone
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