Results 31 to 40 of about 379,230 (325)
A uniform spectral gap for congruence covers of a hyperbolic manifold [PDF]
, 2010 Let $G$ be $\SO(n,1)$ or $\SU(n,1)$ and let $\Gamma\subset G$ denote an arithmetic lattice. The hyperbolic manifold $\Gamma\backslash \calH$ comes with a natural family of covers, coming from the congruence subgroups of $\Gamma$. In many applications, it
Dubi Kelmer, L. Silberman
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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
doaj +1 more source
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 note on Lang's conjecture for quotients of bounded domains [PDF]
Épijournal de Géométrie Algébrique, 2021 It was conjectured by Lang that a complex projective manifold is Kobayashi hyperbolic if and only if it is of general type together with all of its subvarieties.
Sébastien Boucksom, Simone Diverio
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The moduli space of negatively curved metrics of a hyperbolic manifold [PDF]
, 2008 We prove that the moduli space of negatively curved metrics of a hyperbolic manifold Mn has nontrivial homotopy and homology groups in certain dimensions (depending on n) provided M has a ‘good’ closed geodesic.
F. T. Farrell, P. Ontaneda
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On the L2-cohomology of a convex cocompact hyperbolic manifold [PDF]
, 2002 A vanishing theorem for a convex cocompact hyperbolic manifold is established, which relates the L2 cohomology to the Hausdorff dimension of the limit set. The borderline case is shown to characterize the manifold completely.
Xiaodong Wang
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Finite-volume hyperbolic 3-manifolds are almost determined by their finite quotient groups [PDF]
Inventiones Mathematicae, 2020 For any orientable finite-volume hyperbolic 3-manifold, this paper proves that the profinite isomorphism type of the fundamental group uniquely determines the isomorphism type of the first integral cohomology, as marked with the Thurston norm and the ...
Yi Liu
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On solutions to the wave equation on a non-globally hyperbolic manifold [PDF]
, 2009 We consider the Cauchy problem for the wave equation on a non-globally hyperbolic manifold of special form (the Minkowski plane with a handle) containing closed time-like curves.
I. Volovich +3 more
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Intersections in hyperbolic manifolds [PDF]
Geometry & Topology, 1998 28 pages.
openaire +5 more sources
Manifold learning and maximum likelihood estimation for hyperbolic network embedding
Applied Network Science, 2016 The Popularity-Similarity (PS) model sustains that clustering and hierarchy, properties common to most networks representing complex systems, are the result of an optimisation process in which nodes seek to form ties, not only with the most connected ...
Gregorio Alanis-Lobato +2 more
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