STUDY ON LORENTZIAN PARA-KENMOSTU MANIFOLDS ADMITTING GENERALIZED TANAKA-WEBSTER CONNECTION

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 20

Volume : 21 , Issue : 1
DOI: https://doi.org/10.56827/SEAJMMS.2025.2101.6
Author :
Shyam Kishor (Department of Mathematics and Astronomy, University of Lucknow, Lucknow - 226007, Uttar Pradesh, INDIA)
Shivam Mishra (Department of Mathematics and Astronomy, University of Lucknow, Lucknow - 226007, Uttar Pradesh, INDIA)

Abstract

In this study, we analyze the curvature properties and Ricci solitons in Lorentzian para-Kenmotsu manifolds using the generalized Tanaka-Webster connection. Here, using a generalized Tanaka-Webster connection, we examine the recurring conditions of the Lorentzian para-Kenmotsu manifold, projective curvature tensor, and conharmonic curvature tensor. Furthermore, using a generalized Tanaka-Webster connection, we investigate Ricci solitons on Lorentzian para-Kenmotsu manifolds.

Keywords and Phrases

Lorentzian para-Kenmotsu Manifold, Generalized Tanaka - Webster connection, $\phi$-recurrent, Ricci-solitons.

A.M.S. subject classification

53C05, 53C07, 53C50.

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