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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The geometric quantization is a method developed to provide a geometrical construction relating classical to quantum mechanics. Sorry, covarinate Javascript is not enabled in your browser!

This document is only for private use for research and teaching activities. Reproduction for commercial use is forbidden. 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.


This same procedure, in the euclidian plane case, also produces the integral Weyl product. Any uses or copies of this document in whole or in part must include the author’s name. To get a Hilbert space structure on the polarized covarjante, one needs to consider objects known as half densities. Geometric quantization Integrals oscillatory product Quantization. Learn what derived works are clicking here.

Este produto, no caso do plano euclidiano e do plano de Bieliavsky, coincide com produto de Weyl integral e o produto de Bieliavsky, respectivamente. 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’ to obtain an integral product of functions on M.

However, the space of all sections of L is too large.

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This rights cover the whole data about this document as well as its contents. In the euclidian plane case, we recover the integral Weyl product and, in the Bieliavsky plane case, we obtain the Bieliavsky product. The first step consists of realizing the deeivada form, ‘omega’, on a symplectic manifold, M, as the curvature form of a line bundle, L, over M.


The functions on M then operate as sections of L. On the other derivaad, 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.

Geometric construction of “star-product” integral on symplectic symmetric spaces not compact.

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