A note on P-Sasakian manifolds satisfying certain conditions
DOI:
https://doi.org/10.22199/issn.0717-6279-6158Keywords:
P-Sasakian manifold, η -Einstein manifold, W₁ curvature tensorAbstract
In the present paper, we have studied the curvature tensors of PSasakian manifold. For a P-Sasakian manifold, W1 ·S = 0, W1 ·Z = 0 and W9 · W1 = 0 cases are considered. According these cases, PSasakian manifolds have been characterized such as η-Einstein and Einstein. In addition, we research W1-flat and W9-flat for a PSasakian manifold. The results are interesting and give an idea about the geometry of P-Sasakian manifold.
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