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July 2014 Some transformations on (LCS)n-manifolds
Helaluddin Ahmad, Absos Ali Shaikh
Tsukuba J. Math. 38(1): 1-24 (July 2014). DOI: 10.21099/tkbjm/1407938669

Abstract

The present paper deals with a study of certain transformations on an (LCS)n-manifold. It is shown that an (LCS)n-manifold remains invariant under a D-homothetic deformation. We also study an infinitesimal CL-transformation on an (LCS)n-manifold and obtain a necessary and sufficient condition for such an infinitesimal transformation to be a Killing or a conformal Killing vector field. Finally, we study CL-transformation on an (LCS)n-manifold and obtained a new tensor field, called CL-curvature tensor field, which is invariant under such a transformation.

Citation

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Helaluddin Ahmad. Absos Ali Shaikh. "Some transformations on (LCS)n-manifolds." Tsukuba J. Math. 38 (1) 1 - 24, July 2014. https://doi.org/10.21099/tkbjm/1407938669

Information

Published: July 2014
First available in Project Euclid: 13 August 2014

zbMATH: 1296.53056
MathSciNet: MR3261910
Digital Object Identifier: 10.21099/tkbjm/1407938669

Subjects:
Primary: 53C15, 53C25

Rights: Copyright © 2014 University of Tsukuba, Institute of Mathematics

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Vol.38 • No. 1 • July 2014
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