Results 61 to 70 of about 71,118 (212)
Sigma models with negative curvature
Physics Letters B, 2016 We construct Higgs Effective Field Theory (HEFT) based on the scalar manifold Hn, which is a hyperbolic space of constant negative curvature. The Lagrangian has a non-compact O(n,1) global symmetry group, but it gives a unitary theory as long as only a ...
Rodrigo Alonso +2 more
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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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Angled decompositions of arborescent link complements
, 2006 This paper describes a way to subdivide a 3-manifold into angled blocks, namely polyhedral pieces that need not be simply connected. When the individual blocks carry dihedral angles that fit together in a consistent fashion, we prove that a manifold ...
Futer, David, Guéritaud, François
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Minimum volume hyperbolic 3-manifolds [PDF]
Journal of Topology, 2009 14 pages; updated and added references, provided a stronger argument regarding Vol3 in section 3, incorporated many helpful comments from Craig Hodgson regarding wording and terminology; corrected ...
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Two-field cosmological α-attractors with Noether symmetry
Journal of High Energy Physics, 2019 We study Noether symmetries in two-field cosmological α-attractors, investigating the case when the scalar manifold is an elementary hyperbolic surface. This encompasses and generalizes the case of the Poincaré disk.
Lilia Anguelova +2 more
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On the Ambartzumian-Pleijel identity in hyperbolic geometry [PDF]
, 2014 We describe a hyperbolic version of the Ambartzumian-Pleijel identity. We use this identity to prove the hyperbolic Crofton formula and the hyperbolic isoperimetric inequality.
Binbin, Xu
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Strongly Asymptotically Hyperbolic Spin Manifolds [PDF]
Mathematical Research Letters, 2000 Inspired by \textit{E. Witten}'s proof of the positive energy theorem [Commun. Math. Phys. 65, 381-420 (1981)], the author presents a generalization of \textit{M. Min-Oo}'s scalar curvature rigidity theorem for asymptotically hyperbolic spin manifolds, [Math. Ann. 285, 527-539 (1989; Zbl 0686.53038)].
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Hyperbolic Volumes of Two Bridge Cone-Manifolds
Известия Иркутского государственного университета: Серия "Математика"In this paper we investigate the existence of hyperbolic, Euclidean and spherical structures on cone-manifolds with underlying space 3-sphere and with singular set a given two-bridge knot.
A. D. Mednykh, A. B. Qutbaev
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A new look at the C 0-formulation of the strong cosmic censorship conjecture
New Journal of Physics, 2022 We examine the C ^0 -formulation of the strong cosmic censorship conjecture (SCC) from a quantum complexity-theoretic perspective and argue that for generic black hole parameters as initial conditions for the Einstein equations, corresponding to the ...
Aditya Iyer +2 more
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Persistent Manifolds are Normally Hyperbolic [PDF]
Transactions of the American Mathematical Society, 1974 Let M be a smooth manifold, f : M ∣ a C 1 f:\,M\,\mid \text {a}\,{{C}^{1}} diffeomorphism and V ⊂ M a
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