Symplectic Geometry
Mostrando 1-8 de 8 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. Low-energy parabosonic membrane: new critical dimensions and deformed noncommutativity
We study a classical perturbative membrane based on the string-limit model and we discuss the consistency of the theory where the closure of the classical constraints algebra is verified. We paraquantize the model (extended string) both in the covariant and the transverse approaches. From the generalized Poincaré algebra, the so-called Poincaré (para) alge
Brazilian Journal of Physics. Publicado em: 2009-12
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3. 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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4. 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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5. Ergodic magnetic limiter for the TCABR
In this work it is considered the effect of an ergodic magnetic limiter on the plasma confined in the TCABR tokamak. The poloidal distribution of the limiter currents is determined taking into account the toroidal geometry of this tokamak. The plasma equilibrium field is analytically obtained by solving the Grad-Schlüter-Shafranov equation in polar toroidal
Brazilian Journal of Physics. Publicado em: 2002-03
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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.
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7. Symplectic geometry and positivity of pseudo-differential operators
In this paper we establish positivity for pseudo-differential operators under a condition that is essentially also necessary. The proof is based on a microlocalization procedure and a geometric lemma.
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8. Minimal representations, geometric quantization, and unitarity.
In the framework of geometric quantization we explicitly construct, in a uniform fashion, a unitary minimal representation pio of every simply-connected real Lie group Go such that the maximal compact subgroup of Go has finite center and Go admits some minimal representation. We obtain algebraic and analytic results about pio. We give several results on the