Results 21 to 30 of about 71,118 (212)
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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Margulis numbers for Haken manifolds [PDF]
, 2011 For every closed hyperbolic Haken 3-manifold and, more generally, for any hyperbolic 3-manifold M which is homeomorphic to the interior of a Haken manifold, the number 0.286 is a Margulis number.
B. Shalen, Marc Culler, Peter
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Topological invariants and Holomorphic Mappings
Comptes Rendus. Mathématique, 2022 Invariants for Riemann surfaces covered by the disc and for hyperbolic manifolds in general involving minimizing the measure of the image over the homotopy and homology classes of closed curves and maps of the $k$-sphere into the manifold are ...
Greene, Robert E. +2 more
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Macfarlane hyperbolic 3–manifolds [PDF]
Algebraic & Geometric Topology, 2018 We identify and study a class of hyperbolic 3-manifolds (which we call Macfarlane manifolds) whose quaternion algebras admit a geometric interpretation analogous to Hamilton's classical model for Euclidean rotations. We characterize these manifolds arithmetically, and show that infinitely many commensurability classes of them arise in diverse ...
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Identities on hyperbolic manifolds [PDF]
, 2016 In this survey, we discuss four classes of identities due principally to Basmajian, McShane, Bridgeman-Kahn and Luo-Tan on hyperbolic manifolds and provide a unified approach for proving them. We also elucidate on the connections between the various identities.
Bridgeman, Martin, Tan, Ser Peow
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An example of an almost hyperbolic Hermitian manifold
International Journal of Mathematics and Mathematical Sciences, 1998 The almost hyperbolic Hermitan manifolds introduced in [1] were classified for the first time in [2]. In this note we construct an example of an almost hyperbolic Hermitan manifold which belongs to a certain class that we study here.
Cornelia-Livia Bejan, Liviu Ornea
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Diastatic entropy and rigidity of complex hyperbolic manifolds
Complex Manifolds, 2016 Let f : Y → X be a continuous map between a compact real analytic Kähler manifold (Y, g) and a compact complex hyperbolic manifold (X, g0). In this paper we give a lower bound of the diastatic entropy of (Y, g) in terms of the diastatic entropy of (X, g0)
Mossa Roberto
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Infrared phases of 3D class R theories
Journal of High Energy Physics, 2022 We study the IR phases of 3D class R theories associated with closed non-hyperbolic 3-manifolds. Non-hyperbolic 3-manifolds can be obtained by performing Dehn fillings on 1-cusped hyperbolic 3-manifolds along exceptional slopes.
Sunjin Choi, Dongmin Gang, Hee-Cheol Kim
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Partial Differential Equations and Quantum States in Curved Spacetimes
Mathematics, 2021 In this review paper, we discuss the relation between recent advances in the theory of partial differential equations and their applications to quantum field theory on curved spacetimes. In particular, we focus on hyperbolic propagators and the role they
Zhirayr Avetisyan, Matteo Capoferri
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Proceedings of the American Mathematical Society, 1985 There is a regular 4 4 -dimensional polyhedron with 120 dodecahedra as 3 3 -dimensional faces. (Coxeter calls it the " 120 120 -cell".) The group of symmetries of this polyhedron is the Coxeter group with diagram: \[ [ u n k ] [unk] \] For each pair ...
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