G-Structures defined on pseudo-Riemannian manifolds
Abstract
Concepts and techniques from the theory of G-structures of higher order are applied to the study of certain structures (volume forms, conformal structures, linear connections and projective structures) defined on a pseudo-Riemanniann manifold. Several relationships between the structures involved have been investigated. The operations allowed on G-structures, such as intersection, inclusion, reduction, extension and prolongation, were used for it.
Cite
@article{arxiv.0810.5681,
title = {G-Structures defined on pseudo-Riemannian manifolds},
author = {Ignacio Sanchez-Rodriguez},
journal= {arXiv preprint arXiv:0810.5681},
year = {2011}
}
Comments
Corrected errors and explanation added, in boldface type, on the version of the Proceedings of the VIII International Colloquium on Differential Geometry (E. Vidal Abascal Centennial Congress), Santiago de Compostela (Spain), 7-11 July 2008, published by World Scientific; 6 pages;, ISBN 10 981-4261-16-5