Symplectic Manifold
Mostrando 1-6 de 6 artigos, teses e dissertações.
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1. 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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2. Aproximações de funções preservando formas simpléticas / Approaches of functions preserving symplectic forms of volumes
Mostraremos que é possível aproximar um difeomorfismo simplético com derivada contínua por um difeomorfismo simplético, infinitamente diferenciáveis, sobre uma variedade simplética compacta. Além disso, provamos o Teorema de Darboux e Moser.
Publicado em: 2006
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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. Estruturas quase hermitianas invariantes e ideais abelianos
Let G be a complex semi-simple Lie group and form its maximal flag manifold F = G/P = U/T where P is a minimal parabolic subgroup, U a compact real form and T = U P a maximal torus of U. We study U -invariant almost Hermitian structures on F. The (1, 2)-symplectic (or quasi-Kähler) structures are naturally related to the affine Weyl groups. A special form f
Publicado em: 2003
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5. 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.
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6. Minimal coupling and the symplectic mechanics of a classical particle in the presence of a Yang-Mills field
This note is to show how to use symplectic geometry to write equations of motion of a “classical particle” in the presence of a Yang-Mills field, for any gauge group, G, and any differentiable manifold, M. In the case that M is Minkowski space and G = U(1), the equations reduce to the Lorentz equations for a charged particle in an electromagnetic field.