G-Structures defined on pseudo-Riemannian manifolds

Details G-Structures defined on pseudo-Riemannian manifolds G-Structures defined on pseudo-Riemannian manifolds

2008-10-31

arxiv.org/abs/0810.5681v3

Differential Geometry. Proc. VIII Int. Colloquium: 321-326, 2009

Mathematics

Differential Geometry

Corrected errors and explanation added, in boldface type, on the version of the Proceedings of the VIII International Colloqui

Scientific paper

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.

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