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ISRN Geometry
Volume 2012 (2012), Article ID 983403, 26 pages
doi:10.5402/2012/983403
A Review on Metric Symmetries Used in Geometry and Physics
University of Windsor, Windsor, ON, N9B3P4, Canada
Received 8 November 2011; Accepted 19 December 2011
Academic Editor: C. Qu
Copyright © 2012 K. L. Duggal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
This is a review paper of the essential research on metric (Killing, homothetic, and conformal) symmetries of Riemannian, semi-Riemannian, and lightlike manifolds. We focus on the main characterization theorems and exhibit the state of art as it now stands. A sketch of the proofs of the most important results is presented together with sufficient references for related results.