ON HYPERBOLIC KENMOTSU MANIFOLDS WITH THE GENERALIZED SYMMETRIC METRIC CONNECTION

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 19

Volume : 20 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2024.2003.23
Author :
N. V. C. Shukla (Department of Mathematics and Astronomy, University of Lucknow, Lucknow, Uttar Pradesh, INDIA)
Komal Anand (Department of Mathematics and Astronomy, University of Lucknow, Lucknow, Uttar Pradesh, INDIA)

Abstract

In this paper, we define Hyperbolic Kenmotsu manifolds and the generalized symmetric metric connection on this manifold. Further we discuss curvature tensor and Ricci curvature tensor with respect to the generalized symmetric metric connection. We also study Ricci semi-symmetric 3-dim Hyperbolic Kenmotsu manifold with the generalized symmetric metric connection and Projectively flat manifold with respect to the generalized symmetric metric connection.

Keywords and Phrases

Hyperbolic Kenmotsu manifold, Generalized symmetric metric connection.

A.M.S. subject classification

53C15, 53C20.

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