Riemannian Geometry
Mostrando 13-24 de 27 artigos, teses e dissertações.
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13. Non-Riemannian geometry of twisted flux tubes
New examples of the theory recently proposed by Ricca [PRA(1991)] on the generalization of Da Rios-Betchov intrinsic equations on curvature and torsion of classical non-Riemannian vortex higher-dimensional string are given. In particular we consider applications to 3-dimesional fluid dynamics, including the case of a twisted flux tube and the fluid rotation.
Brazilian Journal of Physics. Publicado em: 2006-12
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14. Calculo estotastico em variedades Finsler
Nesta dissertação fizemos um estudo da teoria de difusão em variedades Finsler, onde abor-damos o transporte paralelo estocástico, desenvolvimento estocástico de Cartan e Movimento Browniano. O objetivo principal é obter uma descrição mais geométrica dos objetos citados acima ainda que por enquanto em coordenadas locais e assim termos um paralelo en
Publicado em: 2005
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15. Oscilações de buracos negros / Black hole oscillations
In the past few years, black hole oscillations became a very interesting research area mainly due to the possibility of proving the existence of such celestial bodies through the gravitational radiation emitted by them. In this work, the study of the propagation of different kinds of incident waves on a black hole is presented under the mathematical point of
Publicado em: 2005
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16. Mergulhos livres isomÃtricos de variedades compactas em Rsn+4n+5
Saber em que condiÂc~oes pode-se imergir ou mergulhar uma variedade em algum espaÂco euclideano foi um problema que ficou em aberto por um bom tempo. Em 1936, Whitney provou que qualquer variedade de Hausdorff e com base enumerÃvel n-dimensional C1 V pode ser imersa em R2n e mergulhada em R2n+1. Se V nÃo tem componentes fechadas, este resultado pode ser
Publicado em: 2004
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17. THURSTON GEOMETRIES AND SEIFERT FIBER SPACES / GEOMETRIAS DE THURSTON E FIBRADOS DE SEIFERT
We begin by studying orbifolds, i.e., topological spaces locally homeomorphic to quotients of Rn by finite groups. Then we study Seifert fiber spaces of dimension three which are certain type of foliations by circles that can be seen as fiber bundles over orbifolds. This material is useful in the subsequent study of Thurston model geometries. A Thurston mode
Publicado em: 2003
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18. Alguns aspectos da geometria riemanniana das variedades de Hilbert
The aim of this work is to formalize the local theory of infinite dimensional Riemannian manifold and to study the geometry/ topology when the sectional curvature is bounded by two positive constant. We compare this situation with the finite dimensional case and emphasize the difference. The local theory was already developed since 1960, so we describe, brie
Publicado em: 2002
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19. GENERALIZED RIEMANNIAN GEOMETRY
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20. GENERALIZED RIEMANNIAN GEOMETRY, II
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21. THE EINSTEIN GENERALIZED RIEMANNIAN GEOMETRY
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22. Some Cohomology Classes in Principal Fiber Bundles and Their Application to Riemannian Geometry
We define some new global invariants of a fiber bundle with a connection. They are cohomology classes in the principal fiber bundle that are defined when certain characteristic curvature forms vanish. In the case of the principal tangent bundle of a riemannian manifold, they are invariant under a conformal transformation of the metric. They give necessary co
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23. Some nonlinear elliptic equations from geometry
We describe some recent work on certain nonlinear elliptic equations from geometry. These include the problem of prescribing scalar curvature on 𝕊n, the Yamabe problem on manifolds with boundary, and the best Sobolev inequality on Riemannian manifolds.
National Academy of Sciences.
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24. 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.