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Documentos disponibles escritos por este autor (13)
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We survey some techniques for constructing b-completions. First, we give general results relating the b-completion of a product to the b-completion of its factors, the b-completion of a quotient, and the dependence of the b-completion on the bun[...]texto impreso
El propósito de este libro es servir de texto para posible curso, o al menos de apoyo a la docencia. Pienso que puede cubirse la materia, problemas incluidos, en unas 75 horas de clase, si se admite que un número no excesivo de cálculos y demost[...]texto impreso
El trabajo es una exposición de las principales propiedades algebraicas del tensor de curvatura junto con la clasificación de Petrov del tensor de Weyl de un espacio-tiempo y el estudio de ejemplos importantes. Se sigue a O'Neill para la clasifi[...]texto impreso
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The author considers an m-dimensional manifold M, two closed subgroups G, H of GL(m;R) with G containing H, and a G-structure p:A!M. A Lie group of transformations of A is said to be inessential if there exists anH-structure B in A such that [...]texto impreso
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We study the b-completion of the three Friedmann models of the Universe, having as models for 3-space the sphere, the Euclidean space or the hyperbolic space. We show that in the first case there is just one singularity, having the full completi[...]texto impreso
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A reductive homogeneous space M = P/G is considered, endowed with an invariant connection, i.e., such that all left translations of M induced by members of P preserve it. We study the set of singularities of such connections giving sufficient co[...]texto impreso
Theorems on parallel transport and geodesics for singular metrics given in [1] are shown to be corollaries of a general theorem on implicit differential equationstexto impreso
We study the b-completion of the three Friedmann models of the Universe, having as models for 3-space the sphere, the Euclidean space or the hyperbolic space. We show that in the first case there is just one singularity, having the full completi[...]texto impreso
We give a proof of Darboux’s theorem on the local model for certain differential forms of degree one and two, combining the existing proofs and giving a simpler one.
