Special Issue: Proceedings of the International Congress on Symmetry in Geometry and Physics in honour of Dmitri V. Alekseevsky (Rome, Italy, 14 to 17 September 2005)No Access

GENERAL RELATIVITY AND SECTIONAL CURVATURE

G. S. HALL

G. S. HALL

Department of Mathematical Sciences, University of Aberdeen, Meston Building, Aberdeen, AB24 3UE, Scotland, UK

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https://doi.org/10.1142/S0219887806001405Cited by:0 (Source: Crossref)

Abstract

A discussion is given of the sectional curvature function on a four-dimensional Lorentz manifold and, in particular, on the space–time of Einstein's general relativity theory. Its tight relationship to the metric tensor is demonstrated and some of its geometrical and algebraic properties evaluated. The concept of a sectional curvature preserving symmetry, in the form of a certain smooth vector field, is introduced and discussed.

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