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Research Article

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

S
Shyam Kishor Department of Mathematics and Astronomy, University of Lucknow, Lucknow - 226007, Uttar Pradesh, INDIA
S
Shivam Mishra Department of Mathematics and Astronomy, University of Lucknow, Lucknow - 226007, Uttar Pradesh, INDIA
Volume 21, Issue 1 Pages 63-76 April 30, 2025 143 downloads
Article overview

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 ManifoldGeneralized Tanaka - Webster connection$\phi$-recurrentRicci-solitons.

AMS Subject Classification

53C05, 53C07, 53C50.

Reference information

How to Cite

Shyam Kishor, Shivam Mishra (2025). STUDY ON LORENTZIAN PARA-KENMOSTU MANIFOLDS ADMITTING GENERALIZED TANAKA-WEBSTER CONNECTION. South East Asian Journal of Mathematics and Mathematical Sciences, 21(1), 63-76.
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