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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Covariant Derivative — from Wolfram MathWorld

Geometric quantization Integrals oscillatory product Quantization. This same procedure, in the euclidian plane case, also produces the integral Weyl product. This document is only for private use for dedivada and teaching activities. Este produto, no caso do plano euclidiano e do plano de Bieliavsky, coincide com produto de Weyl integral e o produto de Bieliavsky, respectivamente.


Any uses or copies of this document in whole or in part must include the author’s name. To rerivada a Hilbert space structure on the polarized sections, one needs to consider objects known as half densities.

The first step consists of realizing the symplectic form, ‘omega’, on a symplectic manifold, M, as the curvature form of a line bundle, L, over M. In this work, first we derivafa 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.

One wants to consider sections which are constant in certain directions polarized sections and for derivaca one needs to introduce the concept of a polarization. Reproduction for commercial use is forbidden.

Geometric construction of “star-product” integral on symplectic symmetric spaces not compact. Sorry, but Javascript is not enabled in your browser!


The functions on M then operate as sections of L. However, the space of all sections of L is too large.

The geometric quantization is a method dovariante to provide a geometrical construction relating classical to quantum mechanics. In the euclidian plane case, we recover the integral Weyl product and, in the Bieliavsky plane case, we obtain the Bieliavsky product.

Learn what derived works are clicking here. On the other hand, for the hyperbolic plane, such real polarizations are neither transverse nor nontransverse, so we use the pairing between covairante 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.