The “SOME PROPERTIES OF -KENMOTSU MANIFOLDS WITH QUARTER-SYMMETRIC NON-METRIC CONNECTION”

Authors

  • Sangeeta Gautam Sangeeta Gautam Dr Rammanohar Lohia Avadh University Ayodhya Uttar Pradesh
  • Dr. Abhishek Dr. Ram Manohar Lohia Avadh University
  • Lalit Kumar Gautam Dr. Ram Manohar Lohia Avadh University

Keywords:

()-Kenmotsu manifold, quarter-symmetric non-metric connection, Ricci soliton, Quasi-projectively flat, φ-projectively flat.

Abstract

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

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Published

14-11-2024

How to Cite

Sangeeta Gautam, S. G., Abhishek Singh, & Lalit Kumar Gautam. (2024). The “SOME PROPERTIES OF -KENMOTSU MANIFOLDS WITH QUARTER-SYMMETRIC NON-METRIC CONNECTION”. Communications in Mathematics and Applications, 15(2). Retrieved from http://rgnpublications.com/journals/index.php/cma/article/view/2597

Issue

Vol. 15 No. 2 (2024)

Section

Research Article

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