Invariant Manifolds
Mostrando 1-12 de 15 artigos, teses e dissertações.
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1. SURFACES OF CONSTANT MEAN CURVATURE IN HOMOGENEOUS THREE MANIFOLDS WITH EMPHASIS IN GPSL2(R, ¿ ) / SUPERFÍCIES DE CURVATURA MEDIA CONSTANTE EM VARIEDADES HOMOGÉNEAS DE DIMENSÃO 3 COM ENFÂSE EM GPSL2(R, ¿)
Nesta teses, nós estudamos H-superfícies, isto é, superfícies tendo curvatura media constante, imersas em variedades homogêneas simplesmente conexas de dimensão 3. Nós focamos nossa atenção no estudo de existência de H multigráficos. Também estudamos a H-superfícies invariantes por um grupo a um parâmetro de isometrias que estão imersas no esp
Publicado em: 2010
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2. About 3-manifolds supporting some actions of R POT. 2and a Morses conjecture / Sobre 3-variedades suportando certas ações de R POT. 2e uma Conjectura de Morse
First we consider a family of C POT. 2actions of R POT. 2on a closed 3-manifold. One of the conditions of this family is that it admits only a finite number of singular orbits, which are all diffeomorphic to circle. For this family we will give a description of the structure of the orbits as well the 3-manifolds supporting this actions. This generalizes resu
Publicado em: 2010
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3. NONLINEAR DYNAMICS, INSTABILITY AND CONTROL OF STRUCTURAL SYSTEMS WITH MODAL INTERACTION / DINÂMICA NÃO-LINEAR, INSTABILIDADE E CONTROLE DE SISTEMAS ESTRUTURAIS COM INTERAÇÃO MODAL
The aim of this thesis is to study the influence of coupled buckling modes on the static and particularly on the nonlinear dynamic behavior of structural components liable to buckling. For this, two discrete two degrees of freedom models known for their complex nonlinear behavior are selected: the well-known Augusti¿s model and a simplified model of cable-s
Publicado em: 2010
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4. Metricas de Einstein e estruturas Hermitianas invariantes em variedades bandeira / Einstein metrics and invariant Hermitian structures on flag manifolds
In this work we and all the invariant Einstein metrics on four families of ag manifolds of type Bl and Cl. Our results are consistent with the finiteness conjecture of Einstein metrics proposed by Wang and Ziller. Our approach for solving the Einstein equations is based on the symmetries of the algebraic system. We obtain the Einstein algebraic systems for t
Publicado em: 2009
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5. Estudo do bilhar no anel de círculos excêntricos
We study a two parameter family of billiards in circular tables with an internal obstacle. The dynamic is described by the action of an homeomorphism of the compact cylinder. We study the stability of the xed points and we use the symmetries of the problem to analyze the behavior of the invariant manifolds of the hyperbolic xed point. We prove the existence
Publicado em: 2008
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6. Local and global symmetries in gauge theories / Simetrias globais e locais em teorias de calibre
This thesis deals with the geometric formulation of classical gauge theories, or Yang-Mills theories, regarded as an important class of models that must be included in any attempt to establish a general mathematical framework for classical field theory. Such a formulation must come in (at least) two variants: the hamiltonian version which has gone through a
Publicado em: 2007
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7. Metricas de Einstein em variedades bandeira / Einstein metrics on flag manifolds
The goal of this work is to contribute the study of invariant Hermitian geometry on flag manifolds. We study the class of Einstein metrics on flag manifolds. In this work we present new solutions for the invariant Einstein equation on flag manifolds, maximals or not, of Ai case. Let W a subgroup of the Weyl group. We described a natural action of W on the so
Publicado em: 2005
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8. 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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9. Transferências orbitais e dinâmicas na vizinhança dos pontos lagrangianos L1 e L2 / Transfer orbits and dynamics around the lagrangian points L1 e L2
In this work we present a study of the dynamics in the vicinity of the Lagrangian points L1 and L2 in the restricted three-body problem, considering the Sun-Earth and Earth-Moon models. Notwithstanding the hyperbolic character of these points, the reduction to the central manifold allows periodic and quasi-periodic orbits. This procedure is applied through t
Publicado em: 2005
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10. Parabolic problems in unidimensional composite materials: Morse-Smale property. / Problemas parabólicos em materiais compostos unidimensionais: propriedade de Morse Smale.
Neste trabalho estudamos problemas de reação difusão em domínios unidimensionais que surgem de materiais compostos e obtemos resultados comparando os fluxos do problema original e do problema limite quando a difusão fica muito grande em partes do domínio. Provamos que os autovalores e autofunções do operador linear ilimitado associado à equação li
Publicado em: 2003
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11. Symplectic integrators revisited
This paper is a survey on Symplectic Integrator Algorithms (SIA): numerical integrators designed for Hamiltonian systems. As it is well known, n degrees of freedom Hamiltonian systems have an important property: their ows preserve not only the total volume of the phase space, which is only one of the Poincaré invariants, but also the volume of sub-spaces le
Brazilian Journal of Physics. Publicado em: 2002-12
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12. Aplicações harmonicas, estruturas-f, toros e superficies de Riemann nas variedades homogeneas
In this work we study the geometry of invariant f-structures and f-holomorphic curves on flag manifolds, and the construction of the equiharmonic tori on full complex flag manifolds which are not f-holomophic for any invariant f-estructure. Moreover we relate the tournament theory with the almost-complex on a flag manifolds. We compute the second variation o
Publicado em: 2002