Compact Riemannian Manifolds
Mostrando 1-12 de 12 artigos, teses e dissertações.
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1. MÃtricas m-quasi-Einstein generalizadas em variedades compactas / Generalized m-quasi-Einstein metrics in compact manifolds
O principal objetivo deste trabalho à apresentar uma generalizaÃÃo das mÃtricas quasi-Einstein generalizadas para campos de vetores suaves quaisquer. AlÃm disso, serÃo apresentadas algumas fÃrmulas integrais para mÃtricas quasi-Einstein gradiente generalizadas definidas em uma variedade compacta.
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 11/07/2012
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2. O nÃcleo do calor em uma variedade riemanniana / The heat kernel on a Riemannian manifold
In a connected and compact Riemannian Manifold we will introduce the concept of spectre of Laplace operator. Using the existence and unicity of the heat kernel in Riemannian manifold we proof the Hodge composition theorem. This theorem states that the Hilbert space L2(M, g) decompose in direct sum of subspaces with finite dimesion, where each subspace is the
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 25/02/2011
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3. GrÃficos compactos com curvatura mÃdia de segunda ordem constante sobre a esfera / Compact graphs over a sphere of constant second order mean curvature
The purpose of this dissertation is to desire a formula for the operator Lr(g) = div(Pr gradient g) of a new support function g, defined over a hypersurface Mn in a Riemannian space form Mc n +1, and to show that a compact smooth starshaped hypersurface Σn in the Euclidean sphere Sn+1,whose second symmetric function S2 is positive and constant must be a
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 16/07/2009
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4. O teorema de Alexandrov / The theorem of Alexandrov
O objetivo desta dissertação é apresentar uma demonstração de R. Reilly para o Teorema de Alexandrov. O teorema estabelece que As únicas hipersuperfícies compactas, conexas, de curvatura média constante, mergulhadas no espaço Euclidiano são as esferas. O teorema de Alexandrov foi provado por A. D. Alexandrov no artigo Uniqueness Theorems for Surfac
Publicado em: 2009
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5. ASYMPTOTIC LINKING INVARIANTS FOR RKACTIONS IN COMPACT RIEMANNIAN MANIFOLDS / ÍNDICES DE ENLAÇAMENTO ASSINTÓTICO PARA AÇÕES DE RK EM VARIEDADES RIEMANNIANAS COMPACTAS
V.I. Arnold, in his paper The algebraic Hopf invariant and its applications published in 1986, considered a compact domain (ômega maiúsculo) in R3 with a smooth boundary and trivial homology and two divergence free vector fields X and Y in (ômega maiúsculo) tangent to the boundary. He defined an asymptotic linking invariant lk(X; Y ) and a Hopf invariant
Publicado em: 2005
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6. ON THE STRUCTURE OF COMPACT RIEMANNIAN MANIFOLDS
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7. On the Fundamental Group of Manifolds of Non-positive Curvature
We prove theorems on the structure of the fundamental group of a compact riemannian manifold of non-positive curvature. In particular, a conjecture of J. Wolf [J. Differential Geometry, 2, 421-446 (1968)] is proved.
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8. Compact negatively curved manifolds (of dim [unk] 3,4) are topologically rigid
Let M be a complete (connected) Riemannian manifold having finite volume and whose sectional curvatures lie in the interval [c1, c2] with -∞ < c1[unk]c2 < 0. Then any proper homotopy equivalence h:N → M from a topological manifold N is properly homotopic to a homeomorphism, provided the dimension of M is >5. In particular, if M and N are both compact (co
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9. On the spectral geometry of spaces with cone-like singularities
I describe an extension of a portion of the theory of the Laplace operator on compact riemannian manifolds to certain spaces with singularities. Although this approach can be extended to include quite general spaces, this paper will confine itself to the case of manifolds with cone-like singularities. These singularities are geometrically the simplest possib
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10. Analytic torsion and Reidemeister torsion
We announce a proof of the conjecture of Ray and Singer that for a compact Riemannian manifold the analytic torsion and Reidemeister torsion are equal. The proof involves studying the heat equation for certain manifolds M, equipped with metrics gu, 0 < u < 1 which degenerate in a prescribed way at the boundary δM, as u → 0,1.
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11. Tubular presentations π of subsets of manifolds
In this note the Weierstrass integral J is taken as L, the Riemann integral of length. Here Mn, n > 1, is a compact, connected manifold of class C∞ with a positive definite Riemann structure. Presentations (φ, Uφ) 𝒟 ∈ Mn and geodesics (with the aid of the Euler-Riemann equations) are defined in Morse, M. (1976) “Global variational analysis: Weiers
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12. F-Deformations and F-Tractions
Let Mn be a compact, connected topological manifold and F a continuous mapping of Mn into R that is “topologically nondegenerate” in the sense of (Morse, M. (1959) J. d'Analyse Math., 7, 189-208). Let c be a value of F and set Fc = {p∈Mn|F(p) ≤ c}. The topological critical points of F on Fc are finite in number and can be related to the invariants of