Three-dimensional conformally symmetric manifolds

The nonexistence of nontrivial conformally symmetric manifolds in the three-dimensional Riemannian setting is shown. In Lorentzian signature, a complete local classification is obtained. Furthermore, the isometry classes are examined.

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Bibliographic Details
Published in:	Annali di matematica pura ed applicata Vol. 193; no. 6; pp. 1661 - 1670
Main Authors:	Calviño-Louzao, E., García-Río, E., Seoane-Bascoy, J., Vázquez-Lorenzo, R.
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01-12-2014 Springer Nature B.V
Subjects:	Mathematics Mathematics and Statistics 53B30 53C50 Cotton tensor Conformally symmetric spaces
Online Access:	Get full text
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Description
Summary:	The nonexistence of nontrivial conformally symmetric manifolds in the three-dimensional Riemannian setting is shown. In Lorentzian signature, a complete local classification is obtained. Furthermore, the isometry classes are examined.
ISSN:	0373-3114 1618-1891
DOI:	10.1007/s10231-013-0349-3