Some Properties of \(\epsilon\)-Kenmotsu Manifolds With Quarter-Symmetric Non-Metric Connection

Authors

DOI:

https://doi.org/10.26713/cma.v15i2.2597

Keywords:

(ϵ)-Kenmotsu manifold, Quarter-symmetric non-metric connection, Ricci soliton, Quasiprojectively flat, φ-projectively flat

Abstract

The objective of this paper is to investigate the \(\epsilon\)-Kenmotsu manifolds with quartersymmetric non-metric connection. We have investigate an \(\epsilon\)-Kenmotsu manifolds admitting the quarter-symmetric non-metric connections satisfying certain conditions. We have further provided the equivalent conditions for Ricci soliton in an \(\epsilon\)-Kenmotsu manifolds to be shrinking or expanding with the quarter-symmetric non-metric connection. We have also investigated \(\phi\)-projectively flat, Quasiprojectively flat and some interesting results. Finally, we have given an example of 3-dimensional \(\epsilon\)-Kenmotsu manifolds with respect to quarter-symmetric non-metric connection.

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Published

14-11-2024
CITATION

How to Cite

Singh, A., Gautam, S., & Kumar, L. (2024). Some Properties of \(\epsilon\)-Kenmotsu Manifolds With Quarter-Symmetric Non-Metric Connection. Communications in Mathematics and Applications, 15(2), 739–752. https://doi.org/10.26713/cma.v15i2.2597

Issue

Vol. 15 No. 2 (2024)

Section

Research Article

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