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Semi-symmetric non-metric connection in a P-Sasakian manifold - MaRDI portal

Semi-symmetric non-metric connection in a P-Sasakian manifold (Q2815221)

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scientific article; zbMATH DE number 6598842
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Semi-symmetric non-metric connection in a P-Sasakian manifold
scientific article; zbMATH DE number 6598842

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    27 June 2016
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    para-Sasakian manifold
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    \(\xi\)-conharmonically flat
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    globally \(\phi\)-conharmonically symmetric manifold
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    Semi-symmetric non-metric connection in a P-Sasakian manifold (English)
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    The paper deals with the study of para-Sasakian manifolds admitting a semi-symmetric non-metric connection whose conharmonic curvature tensor satisfies certain curvature conditions. In Section 3, the author studies the semisymmetric non-metric connection on P-Sasakian manifolds. Section 4 establishes a relation between the Levi-Civita connection and the semi-symmetric non-metric connection of a P-Sasakian manifold. Section 5 deals with \(\xi\)-conharmonicly flat P-Sasakian manifolds with respect to the semi-symmetric non-metric connection. Finally, the author investigates globally \(\phi\)-conharmonically symmetric P-Sasakian manifolds with respect to the semi-symmetric non-metric connection.
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