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Para-Sasakian manifolds satisfying certain curvature conditions

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Abstract

In this paper, we investigate P-Sasakian manifolds satisfying the conditions R(X, ξ) · C = 0 and \(C \cdot \widetilde Z = 0\), where C and \(\widetilde Z\) are the Weyl conformal curvature tensor and the concircular curvature tensor respectively. Next, we study 3-dimensional P-Sasakianmanifolds. Finally, we give an example of a 3-dimensional P-Sasakian manifold.

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Authors and Affiliations

  1. Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kol-700019, West Bengal, India

    Krishanu Mandal & U. C. De

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  1. Krishanu Mandal
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  2. U. C. De
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Correspondence to Krishanu Mandal.

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Submitted by V. V. Lychagin

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Mandal, K., De, U.C. Para-Sasakian manifolds satisfying certain curvature conditions. Lobachevskii J Math 37, 146–154 (2016). https://doi.org/10.1134/S1995080216020098

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  • DOI: https://doi.org/10.1134/S1995080216020098

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