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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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.
To get a Hilbert space structure on the polarized sections, one needs to consider objects known as half densities. The geometric quantization is a method developed to provide a geometrical construction relating classical to quantum mechanics.
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One wants to consider sections which are constant in certain directions polarized sections and derrivada that one needs to introduce the concept of a polarization. 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.
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This same procedure, in the euclidian plane case, also produces the integral Weyl product. The functions on M then operate as sections of L. However, the space of all sections of L is too large.
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 symplectic form, ‘omega’, on a symplectic dsrivada, M, as the curvature form of a line bundle, L, over M.
Este produto, no caso do plano euclidiano e do plano de Bieliavsky, coincide com produto de Weyl integral e o produto de Bieliavsky, respectivamente.
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