Results 51 to 60 of about 379,230 (325)
Diastatic entropy and rigidity of complex hyperbolic manifolds
Complex Manifolds, 2016 Let f : Y → X be a continuous map between a compact real analytic Kähler manifold (Y, g) and a compact complex hyperbolic manifold (X, g0). In this paper we give a lower bound of the diastatic entropy of (Y, g) in terms of the diastatic entropy of (X, g0)
Mossa Roberto
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Lagrangian systems on hyperbolic manifolds [PDF]
Ergodic Theory and Dynamical Systems, 1999 This paper gives two results that show that the dynamics of a time-periodic Lagrangian system on a hyperbolic manifold are at least as complicated as the geodesic flow of a hyperbolic metric. Given a hyperbolic geodesic in the Poincaré ball, Theorem A asserts that there are minimizers of the lift of the Lagrangian system that are a bounded distance ...
Boyland, Philip, Golé, Christophe
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Asymptotic measure-expansiveness for generic diffeomorphisms
Open Mathematics, 2021 In this paper, we will assume MM to be a compact smooth manifold and f:M→Mf:M\to M to be a diffeomorphism. We herein demonstrate that a C1{C}^{1} generic diffeomorphism ff is Axiom A and has no cycles if ff is asymptotic measure expansive.
Lee Manseob
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Hyperbolic Gradient-Bourgoignon Flow
پژوهشهای ریاضی, 2022 Introduction Ricci solitons as a generalization of Einstein manifolds introduced by Hamilton in mid 1980s. In the last two decades, a lot of researchers have been done on Ricci solitons.
Hamed Faraji +2 more
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On the Cauchy problem for Friedrichs systems on globally hyperbolic manifolds with timelike boundary [PDF]
Advances in Differential Equations, 2020 In this paper, the Cauchy problem for a Friedrichs system on a globally hyperbolic manifold with a timelike boundary is investigated. By imposing admissible boundary conditions, the existence and the uniqueness of strong solutions are shown. Furthermore,
N. Ginoux, S. Murro
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The smallest hyperbolic 6-manifolds [PDF]
Electronic Research Announcements of the American Mathematical Society, 2005 By gluing together copies of an all right-angled Coxeter polytope a number of open hyperbolic 6 6 -manifolds with Euler characteristic − 1 -1 are constructed. They are the first known examples of hyperbolic 6 6 -manifolds having the smallest possible volume.
John G. Ratcliffe +2 more
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1-efficient triangulations and the index of a cusped hyperbolic 3-manifold [PDF]
, 2013 In this paper we will promote the 3D index of an ideal triangulation T of an oriented cusped 3‐manifold M (a collection of q ‐series with integer coefficients, introduced by Dimofte, Gaiotto and Gukov) to a topological invariant of oriented cusped ...
S. Garoufalidis +3 more
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Manifolds on the verge of a hyperbolicity breakdown [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2006 We study numerically the disappearance of normally hyperbolic invariant tori in quasiperiodic systems and identify a scenario for their breakdown. In this scenario, the breakdown happens because two invariant directions of the transversal dynamics come close to each other, losing their regularity.
Haro, Àlex, Llave, Rafael de la
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A Statistical Cohomogeneity One Metric on the Upper Plane with Constant Negative Curvature
Advances in Mathematical Physics, 2014 we analyze the geometrical structures of statistical manifold S consisting of all the wrapped Cauchy distributions. We prove that S is a simply connected manifold with constant negative curvature K=-2. However, it is not isometric to the hyperbolic space
Limei Cao +4 more
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Dynamical system analysis of a three fluid cosmological model: an invariant manifold approach
European Physical Journal C: Particles and Fields, 2019 The present paper considers a three-fluid cosmological model consisting of noninteracting dark matter, dark energy and baryonic matter in the background of the Friedman–Robertson–Walker–Lemaître flat spacetime.
Subhajyoti Pal, Subenoy Chakraborty
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