Results 31 to 40 of about 71,314 (310)
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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Proceedings of the American Mathematical Society, 1985 There is a regular 4 4 -dimensional polyhedron with 120 dodecahedra as 3 3 -dimensional faces. (Coxeter calls it the " 120 120 -cell".) The group of symmetries of this polyhedron is the Coxeter group with diagram: \[ [ u n k ] [unk] \] For each pair ...
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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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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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Dynamical system analysis of quintom dark energy model
European Physical Journal C: Particles and Fields, 2018 The present work deals with dynamical system analysis of a quintom model of dark energy. By suitable transformation of variables the Einstein field equations are converted to an autonomous system.
Sudip Mishra, Subenoy Chakraborty
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A characterization of hyperbolic manifolds [PDF]
Proceedings of the American Mathematical Society, 1993 In this note we prove that a complex manifold X X is Kobayashi hyperbolic if and only if the space Hol ( Δ , X ) \operatorname {Hol} (\Delta ,X) of holomorphic maps of the unit disk Δ \Delta into X X is relatively compact (with ...
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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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MathematicsIn this research paper, we introduce the notions of hyperbolic ∗-Ricci solitons and gradient hyperbolic ∗-Ricci solitons. We study the hyperbolic ∗-Ricci solitons on a three-dimensional ε-trans-Sasakian manifold. Specifically, we determine the hyperbolic
Fatemah Mofarreh, Mohd Danish Siddiqi
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The Combinatorics of Hyperbolized Manifolds [PDF]
MATHEMATICA SCANDINAVICA, 2015 A topological version of a longstanding conjecture of H. Hopf, originally proposed by W. Thurston, states that the sign of the Euler characteristic of a closed aspherical manifold of dimension $d=2m$ depends only on the parity of $m$. Gromov defined several hyperbolization functors which produce an aspherical manifold from a given simplicial or cubical
Edmonds, Allan L., Klee, Steven
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