Duality and nongeneric symmetries

May, 1998
8 pages
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19981999200010
Abstract: (arXiv)
In this paper the symmetries of the dual manifold were investigated. We found the conditions when the manifold and its dual admit the same Killing vectors and Killing-Yano tensors. In the case of an Einstein's metric gμνg_{\mu\nu} the corresponding equations for its dual were found. The examples of Kerr-Newman geometry and the separable coordinates in 1+1 dimensions were analyzed in details.