Results 1 to 10 of about 65,895 (252)
The genus spectrum of a hyperbolic 3-manifold [PDF]
, 2009 In this article we study the spectrum of totally geodesic surfaces of a finite volume hyperbolic 3-manifold. We show that for arithmetic hyperbolic 3-manifolds that contain a totally geodesic surface, this spectrum determines the commensurability class ...
McReynolds, D. B., Reid, Alan W.
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Riemann solitons on para-Sasakian geometry
Karpatsʹkì Matematičnì Publìkacìï, 2022 The goal of the present article is to investigate almost Riemann soliton and gradient almost Riemann soliton on 3-dimensional para-Sasakian manifolds.
K. De, U.C. De
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Black holes and large N complex saddles in 3D-3D correspondence
Journal of High Energy Physics, 2021 We study the large N sign oscillation of the twisted indices for 3D theories of class ℛ obtained from M5-branes wrapped on a hyperbolic 3-manifold. Holographically, the oscillatory behavior can be understood from the imaginary part of on-shell actions ...
Sunjin Choi, Dongmin Gang, Nakwoo Kim
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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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Journal of High Energy Physics, 2020 We study the twisted index of 4d N $$ \mathcal{N} $$ = 2 class S $$ \mathcal{S} $$ theories on a closed hyperbolic 3-manifold M 3. Via 6d picture, the index can be written in terms of topological invariants called analytic torsions twisted by irreducible
Jin-Beom Bae, Dongmin Gang, Kimyeong Lee
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Hardy–Adams Inequalities on ℍ2 × ℝn-2
Advanced Nonlinear Studies, 2021 Let ℍ2{\mathbb{H}^{2}} be the hyperbolic space of dimension 2. Denote by Mn=ℍ2×ℝn-2{M^{n}=\mathbb{H}^{2}\times\mathbb{R}^{n-2}} the product manifold of ℍ2{\mathbb{H}^{2}} and ℝn-2(n≥3){\mathbb{R}^{n-2}(n\geq 3)}.
Ma Xing, Wang Xumin, Yang Qiaohua
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On the Melnikov function [PDF]
ریاضی و جامعه, 2023 In this article, we have tried to introduce one of the most important topics in the subject of dynamical systems, namely the Melnikov function, in simple language.
Majid Karimi Amaleh
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No ensemble averaging below the black hole threshold
Journal of High Energy Physics, 2022 In the AdS/CFT correspondence, amplitudes associated to connected bulk manifolds with disconnected boundaries have presented a longstanding mystery. A possible interpretation is that they reflect the effects of averaging over an ensemble of boundary ...
Jean-Marc Schlenker, Edward Witten
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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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Total mean curvatures of Riemannian hypersurfaces
Advanced Nonlinear Studies, 2023 We obtain a comparison formula for integrals of mean curvatures of Riemannian hypersurfaces via Reilly’s identities. As applications, we derive several geometric inequalities for a convex hypersurface Γ\Gamma in a Cartan-Hadamard manifold MM.
Ghomi Mohammad, Spruck Joel
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