arXiv subjects

Ignacio Sanchez-Rodriguez

Publications and source records attributed to Ignacio Sanchez-Rodriguez.

2 recordsLinked to original sources

arXiv2011

G-Structures defined on pseudo-Riemannian manifolds

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.

math.DG↗

arXiv2008

Geometrical Structures of Space-Time in General Relativity

Space-Time in general relativity is a dynamical entity because it is subject to the Einstein field equations. The space-time metric provides different geometrical structures: conformal, volume, projective and linear connection. A deep understanding of them has consequences on the dynamical role played by geometry. We present a unified description of those geometrical structures, with a standard criterion of naturalness, and then we establish relationships among them and try to clarify the meaning of associated geometric magnitudes.

gr-qc↗