Null and infinitesimal isotropy in semi-Riemannian geometry
type: Item
instance of: scholarly article
title: Null and infinitesimal isotropy in semi-Riemannian geometry
zbMATH Open document ID: 0796.53018
DOI: 10.1016/0393-0440(94)90031-0
author: Demir N. Kupeli
author: Eduardo García-Río
published in: Journal of Geometry and Physics
publication date: 1994-05-18T00:00:00Z
review text: The earlier concepts of infinitesimal spatial or null isotropy of a semi- Riemannian manifold are generalized to infinitesimal isotropy with respect to an orthogonal decomposition of the tangent space. Sufficient conditions on \((M,g)\) to be a warped product are given in terms of the new notion. The authors also define null isotropy, which turns out to be essentially conformal flatness. The concepts apply to cosmological and black hole solutions of general relativity.
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 83C05
zbMATH DE Number: 569286
zbMATH Keywords: solutions of Einstein's equations
zbMATH Keywords: isotropy
zbMATH Keywords: semi-Riemannian manifold
zbMATH Keywords: warped product
zbMATH Keywords: conformal flatness
reviewed by: Rainer Schimming
MaRDI profile type: Publication
full work available at URL: 0393-0440(94)90031-0
OpenAlex ID: W2050683327
Wikidata QID: Q115363080
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description: scientific article; zbMATH DE number 569286