Results 21 to 30 of about 67,338 (298)
Topological entanglement and hyperbolic volume
Journal of High Energy Physics, 2021 The entanglement entropy of many quantum systems is difficult to compute in general. They are obtained as a limiting case of the Rényi entropy of index m, which captures the higher moments of the reduced density matrix.
Aditya Dwivedi +4 more
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The complement of the figure-eight knot geometrically bounds [PDF]
, 2016 We show that some hyperbolic 3-manifolds which are tessellated by copies of the regular ideal hyperbolic tetrahedron embed geodesically in a complete, finite volume, hyperbolic 4-manifold.
Slavich, Leone
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Curved momentum spaces from quantum groups with cosmological constant
Physics Letters B, 2017 We bring the concept that quantum symmetries describe theories with nontrivial momentum space properties one step further, looking at quantum symmetries of spacetime in presence of a nonvanishing cosmological constant Λ. In particular, the momentum space
Á. Ballesteros +3 more
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Almost Kenmotsu 3-h-manifolds with transversely Killing-type Ricci operators
Open Mathematics, 2020 In this paper, it is proved that the Ricci operator of an almost Kenmotsu 3-h-manifold M is of transversely Killing-type if and only if M is locally isometric to the hyperbolic 3-space ℍ3(−1){{\mathbb{H}}}^{3}(-1) or a non-unimodular Lie group endowed ...
Pan Quanxiang, Wu Hui, Wang Yajie
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Homotopy hyperbolic 3-manifolds are virtually hyperbolic [PDF]
Journal of the American Mathematical Society, 1994 If a closed 3-manifold is virtually hyperbolic (finitely covered by a hyperbolic manifold) then it is irreducible, and it is an easy consequence of Mostow rigidity that it is also homotopy hyperbolic (homotopy equivalent to a hyperbolic 3-manifold). This paper establishes the converse.
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Verified Computations for Hyperbolic 3-Manifolds [PDF]
Experimental Mathematics, 2015 For a given cusped 3-manifold $M$ admitting an ideal triangulation, we describe a method to rigorously prove that either $M$ or a filling of $M$ admits a complete hyperbolic structure via verified computer calculations. Central to our method are an implementation of interval arithmetic and Krawczyk's Test. These techniques represent an improvement over
Hoffman, N. +5 more
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Ends of Hyperbolic 3-Manifolds [PDF]
Journal of the American Mathematical Society, 1993 Let N = H 3 / Γ N = {{\mathbf {H}}^3}/\Gamma be a hyperbolic 3 3 -manifold which is homeomorphic to the interior of a compact 3 3 -manifold.
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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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Supersymmetric AdS$$_2\times \Sigma _2$$ 2×Σ2 solutions from tri-sasakian truncation
European Physical Journal C: Particles and Fields, 2017 A class of $$\mathrm{AdS}_2\times \Sigma _2$$ AdS2×Σ2 , with $$\Sigma _2$$ Σ2 being a two-sphere or a hyperbolic space, solutions within four-dimensional $$N=4$$ N=4 gauged supergravity coupled to three-vector multiplets with dyonic gauging is identified.
Parinya Karndumri
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Minimal Surfaces in Hyperbolic 3‐Manifolds [PDF]
Communications on Pure and Applied Mathematics, 2020 AbstractWe show the existence of smoothly embedded closed minimal surfaces in infinite volume hyperbolic 3‐manifolds except for some special cases.
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