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The Mass of an Asymptotically Hyperbolic Manifold with a Non-compact Boundary
Annales de l'Institute Henri Poincare. Physique theorique, 2018We define a mass-type invariant for asymptotically hyperbolic manifolds with a non-compact boundary which are modelled at infinity on the hyperbolic half-space and prove a sharp positive mass inequality in the spin case under suitable dominant energy ...
S. Almaraz, Levi Lopes de Lima
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On the structure of hyperbolic manifolds
Israel Journal of Mathematics, 2004For \(n \geq 2\), explicit estimates for the Margulis constant are obtained giving rise to a thick and thin decomposition of hyperbolic \(n\)-manifolds of finite volume. As a consequence, new universal lower bounds for the volume and Gromov invariant and a geometrical inequality between injectivity radius and diameter for compact manifolds are obtained.
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American Journal of Mathematics, 2019
:Though there has been extensive study on Hardy-Sobolev-Maz'ya inequalities on upper half spaces for first order derivatives, whether an analogous inequality for higher order derivatives holds has still remained open.
Guozhen Lu, Qiaohua Yang
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:Though there has been extensive study on Hardy-Sobolev-Maz'ya inequalities on upper half spaces for first order derivatives, whether an analogous inequality for higher order derivatives holds has still remained open.
Guozhen Lu, Qiaohua Yang
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Hyperbolic cone-manifold structures with prescribed holonomy II: higher genus
, 2010We consider the relationship between hyperbolic cone-manifold structures on surfaces, and algebraic representations of the fundamental group into a group of isometries.
Daniel V. Mathews
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1994
In this chapter, we take up the study of hyperbolic n-manifolds. We begin with a geometric method for constructing spherical, Euclidean, and hyperbolic re-manifolds. In Section 11.2, we prove Poincare’s fundamental polyhedron theorem for freely acting groups. In Section 11.3, we determine the simplices of maximum volume in hyperbolic n-space.
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In this chapter, we take up the study of hyperbolic n-manifolds. We begin with a geometric method for constructing spherical, Euclidean, and hyperbolic re-manifolds. In Section 11.2, we prove Poincare’s fundamental polyhedron theorem for freely acting groups. In Section 11.3, we determine the simplices of maximum volume in hyperbolic n-space.
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1994
In this chapter, we construct some examples of hyperbolic 3-manifolds. We begin with a geometric method for constructing spherical, Euclidean, and hyperbolic 3-manifolds in Sections 10.1 and 10.2. Examples of complete hyperbolic 3-manifolds of finite volume are constructed in Section 10.3.
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In this chapter, we construct some examples of hyperbolic 3-manifolds. We begin with a geometric method for constructing spherical, Euclidean, and hyperbolic 3-manifolds in Sections 10.1 and 10.2. Examples of complete hyperbolic 3-manifolds of finite volume are constructed in Section 10.3.
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Large and Small Covers of a Hyperbolic Manifold
, 2012Petra Bonfert-Taylor +2 more
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