Symplectic Manifolds
Mostrando 1-6 de 6 artigos, teses e dissertações.
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1. Difusões em variedades de poisson / Poisson manifolds diffusions
O objetivo desse trabalho é estudar as equações de Hamilton no contexto estocástico. Sendo necessário para tal um pouco de conhecimento a cerca dos seguintes assuntos: cálculo estocástico, geometria de segunda ordem, estruturas simpléticas e de Poisson. Abordamos importantes resultados, dentre eles o teorema de Darboux (coordenadas locais) em varieda
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 07/08/2009
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2. O Teorama da Convexidade do Mapa do Momento
In this dissertation we presented the Atiyah-Guillemin-Sternberg convexity theorem about the image of the moment map in the case of Hamiltonian torus action on compact connected symplectic manifold. This result gives, in certain sense, a generalization to Schur theorem about relationship between eigenvalues and diagonal entries of Hermitian matrix. With this
Publicado em: 2007
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3. 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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4. 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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5. Convex polytopes and quantization of symplectic manifolds
Quantum mechanics associate to some symplectic manifolds M a quantum model Q(M), which is a Hilbert space. The space Q(M) is the quantum mechanical analogue of the classical phase space M. We discuss here relations between the volume of M and the dimension of the vector space Q(M). Analogues for convex polyhedra are considered.
The National Academy of Sciences of the USA.
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6. Isotropic isotopy and symplectic null sets
Capacity is an important numerical invariant of symplectic manifolds. This paper studies when a subset of a symplectic manifold is null, i.e., can be removed without affecting the ambient capacity. After examples of open null sets and codimension-2 non-null sets, geometric techniques are developed to perturb any isotopy of a loop to a hamiltonian flow; it fo
The National Academy of Sciences of the USA.