Universal Journal of Mathematics and Mathematical Sciences
Volumes 7, Issue 2, Pages 107 - 119
(April 2015) http://dx.doi.org/10.17654/UJMMSApr2015_107_119 |
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CURVATURE TENSORS IN h-EINSTEIN SASAKIAN MANIFOLDS
J. K. Katende, S. K. Moindi and G. P. Pokhariyal
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Abstract: In this paper, we study some properties of the curvature tensor along with its symmetric and skew symmetric parts in an h-Einstein Sasakian manifold. We also consider -symmetric and -flat h-Einstein Sasakian manifolds. We show that a -flat h-Einstein Sasakian manifold is an Einstein manifold and is isometric to the unit sphere. |
Keywords and phrases: curvature tensor, h-Einstein Sasakian, symmetric manifold. |
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