Riemannian Manifold
Mostrando 1-12 de 39 artigos, teses e dissertações.
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1. Densidade do conjunto de endomorfismos com medida maximizante suportada em órbita periódica / Density of the set of endomorphisms with maximizing measure suported on a periodic orbit
We prove the following theorem: Let M be a bondaryless, compact and connected Riemannian Manifold. Given an endomorphism f on M, a continuous function \\phi : M ightarrow R and \\epsilon >0, then there exist an endomorphism \\tilde f on M with d(f; \\tilde f) <\\epsilon such that, some \\phi-maximizing measure for \\tilde f is supported on a periodic orbit.
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 26/04/2012
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2. Sólitons de Ricci Shrinking em variedades Riemannianas completas / Complete Gradient Shrinking Ricci Soliton
Nesse trabalho, nós começamos com um levantamento histórico sobre os Ricci Sólitons, mostrando que, muitas vezes, eles surgem como solução auto-similar do fluxo de Ricci. Em seguida, introduzimos alguns conceitos básicos de geometria Riemanniana e definimos formalmente um Rici Sóliton. Concluimos o trabalho com um estudo aprofundado do artigo [6], do
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 02/09/2011
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3. 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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4. Information geometric similarity measurement for near-random stochastic processes
We outline the information-theoretic differential geometry of gamma distributions, which contain exponential distributions as a special case, and log-gamma distributions. Our arguments support the opinion that these distributions have a natural role in representing departures from randomness, uniformity, and Gaussian behavior in stochastic processes. We show
Publicado em: 2011
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5. Instantons in curved spaces / Instantons em espaços curvos
In this work we study instanton solutions of the Yang-Mills theory in Schwarzschild and Reissner-Nordstrom spaces with gauge group SU(2).Instantons are solutions to the classical field equations of Yang-Mills theory defined in a space with Riemannian (positive de finite)metric with finite action. We begin with a review of the geometric setting of Yang-Mills
Publicado em: 2010
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6. 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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7. Bishop-Gromovs theorem of comparison of volume. / O Teorema de Comparação de Volume de Bishop-Gromov.
IN THIS dissertation, we use the Laplacian comparison theorem to prove the comparison of volume Bishop-Gromovs theorem, which assures that if the Ricci curvatures of a complete Riemannian manifold are larger than or equal to (n - 1)k, the volume of a ball with center in p and radius R is smaller than or equal to the volume of a geodesic ball with radius R in
Publicado em: 2009
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8. Cosmology and the Maupertuis-Jacobi principle / Cosmologia e o principio de Maupertuis-Jacobi
We will show that the equations of motion for a class of non-minimally coupled anisotropic scalar-tensorial cosmological models are equivalent to the geodesic fux on certain augmented manifold endowed with a non-Riemannian metric. This result generalizes some recent ones and provides a better dynamical classification of the phase space of such cosmological m
Publicado em: 2008
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9. Análise geométrica e dinâmica de modelos de gravidade generalizada / Geometrical and Dynamical Analysis of Generalized Gravity Models
This work aims the investigation of some dynamical aspects of generalized gravity models, namely scalar-tensor and f(R) models. These models intend to solve in a more natural way the problem of the existence of the dark energy, which is supposedly the component of the Universe that causes its accelerated expansion. In a null spatial curvature Friedmann-Lema�
Publicado em: 2008
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10. Uma analise da influencia da curvatura do espaço em sistemas de comunicações / An analysis of the influence of the space curvature in communication systems
Em geral, o espaço EucIidiano é utilizado no projeto e na análise de desempenho da maior parte dos sistemas de comunicações atuais. Nesta tese, verificamos que o modelo de um sistema de comunicação não necessariamente está restrito ao espaço Euclidiano, mas sim a uma variedade Riemanniana. Com isso, os sistemas de comunicaçoes podun ser analisados
Publicado em: 2008
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11. G-variedades riemannianas como hipersuperfícies de formas espaciais.
(See full text for download) It is proved that an isometric immersion f: Mn ! Qn+1 c of a compact Riemannian mani-fold of dimension n 3 into a space form of dimension n + 1 is equivariant with respect to a Lie group homomorsm : Iso0(Mn) ! Iso(Qn+1 c ), where Iso0(Mn) denotes the identity component of the isometry group Iso(Mn) of Mn. For the case Qn+1 c = Rn
Publicado em: 2006
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12. Gödel's universe and induced-matter theory
We discuss Gödel's universe in the context of the induced-matter theory. We show that the problem of generating Gödel's metric from an extra dimension is equivalent to finding an embedding of Gödel's universe in a Ricci-flat five-dimensional space. On the other hand, according to the Campbell-Magaard theorem, any spacetime can be locally embedded into a f
Brazilian Journal of Physics. Publicado em: 2005-12