Download/Embed scientific diagram | 2: La derivada covariante. from publication: Geometría riemanniana / H. Sánchez Morgado, O. Palmas Velasco. Derivada covariante. Propiedades de la derivada covariante. Ejemplos de cálculo de derivadas covariantes. transporte paralelo de vectores y tensores. Convolution Derivada Convolution de dos funciones. Convolution of two functions Upper density Derivada covariante. Covariant derivative Derivada de orden.

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This same procedure, in the euclidian plane case, also produces the integral Weyl product.

Construção geométrica de star-product integral em espaços simpléticos simétricos

On the other hand, for the hyperbolic plane, such real polarizations are neither transverse nor nontransverse, so we use the pairing between a real polarization and a holomorphic polarization, which are transverse polarizations on the pair groupoid, to obtain an integral product of functions on the hyperbolic plane. Sorry, but Javascript is not enabled in your browser!


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In this work, first we consider a sesquilinear pairing between objects associated to certain different polarizations, which are nontransverse real polarizations, to obtain integral applications between their associated Hilbert spaces, and to use the convolution of the pair groupoid M x ‘ M BARRA’ serivada obtain an integral product of functions on M.

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The functions on M then operate as sections of L. Geometric construction of “star-product” integral on symplectic symmetric spaces not compact.

The first step consists of realizing the symplectic form, ‘omega’, on a symplectic manifold, M, as the curvature form of covarianhe line bundle, L, over M. Geometric quantization Integrals oscillatory product Quantization.

One wants to consider sections which are constant in certain directions polarized sections and for that one needs to introduce the concept of a polarization.


Derivada covariante – Wikipédia, a enciclopédia livre

This rights cover the whole data about this document as well as its contents. In deriivada euclidian plane case, we recover the integral Weyl product and, in the Bieliavsky plane case, we obtain the Bieliavsky product. To get a Hilbert space structure on the polarized sections, one needs to consider objects known as half densities.

Este produto, no caso do plano euclidiano e do plano de Bieliavsky, coincide com produto de Weyl integral e o produto de Bieliavsky, respectivamente. However, the space of all sections of L is too large. The geometric quantization is a method developed to provide a geometrical construction relating classical to quantum covadiante.