QUARTER SYMMETRIC NON-METRIC CONNECTION ON A \textbf{$(k,\mu)-$}CONTACT METRIC MANIFOLD
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 123
DOI: https://doi.org/10.56827/SEAJMMS.2023.1902.27
Author :
R. P. S. Yadav (Department of Mathematics, S. M. M. Town P. G. College, Ballia - 277001, Uttar Pradesh, INDIA)
B. Prasad (Department of Mathematics, S. M. M. Town P. G. College, Ballia - 277001, Uttar Pradesh, INDIA)
Abstract
The object of the present paper is to introduce a new type of quarter symmetric non-metric connection on a $(k,\mu)-$contact metric manifold and study some properties of quarter symmetric non-metric connection on a $(k,\mu)-$contact metric manifold. Further, we obtain some properties of nearly Ricci recurrent on a $(k, \mu)-$contact metric manifold with respect to quarter symmetric non-metric connection. Finally, we present an example to verify our result.
Keywords and Phrases
$(k,\mu)-$contact metric manifold, quarter symmetric non-metric connection, Curvature tensor, symmetric and skew-symmetric and nearly Ricci recurrent.
A.M.S. subject classification
53C25, 53D15.
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