General Relativity and Sectional Curvature

Graham Stanley Hall

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)1077-1087
Number of pages10
JournalInternational Journal of Geometric Methods in Modern Physics
Volume3
Issue number5
Publication statusPublished - 2006

Keywords

  • sectional curvature
  • symmetries
  • plane waves
  • SPACE-TIME
  • RIEMANNIAN CURVATURE
  • CLASSIFICATION
  • TENSORS

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