Some Properties of Kenmotsu Manifolds Admitting a New Type of Semi-Symmetric Non-Metric Connection

Authors

DOI:

https://doi.org/10.26713/cma.v15i1.2368

Keywords:

Kenmotsu manifold, Semi-symmetric non-metric connection, Semi-symmetric manifold, Ricci semi-symmetric manifold, Locally \(\phi\)-symmetric Kenmotsu manifold, Curvature tensor, Ricci tensor, Einstein manifold

Abstract

In this paper, we study some properties of Kenmotsu manifolds admitting a semi-symmetric non-metric connection. Some curvature's properties of Kenmotsu manifolds that admits a semi-symmetric non-metric connection are obtained. Semi-symmetric, Ricci semi-symmetric and locally \(\phi\)-symmetric conditions for Kenmotsu manifolds with respect to semi-symmetric non-metric connection are also studied. It is proved that the manifold endowed with a semi-symmetric non-metric connection is regular. We obtain some conditions for semi-symmetric and Ricci semi-symmetric Kenmotsu manifolds endowed with semi-symmetric non-metric connection \(\widetilde{\nabla}\). It is further observed that the Ricci soliton of data \((g,\xi,\Theta)\) are expanding and shrinking respectively for semi-symmetric and Ricci semi-symmetric Kenmotsu manifolds admitting a semi-symmetric non-metric connection.

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Published

24-04-2024
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How to Cite

Singh, A., Das, . L. S., Prasad, R., & Kumar, L. (2024). Some Properties of Kenmotsu Manifolds Admitting a New Type of Semi-Symmetric Non-Metric Connection. Communications in Mathematics and Applications, 15(1), 145–160. https://doi.org/10.26713/cma.v15i1.2368

Issue

Vol. 15 No. 1 (2024)

Section

Research Article

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