Investigation of $\ast$-Yamabe conformal soliton on LP-Kenmotsu manifolds

Authors

  • Shashikant Pandey University of Lucknow https://orcid.org/0000-0002-8128-2884
  • Priyanka Almia Department of Mathematics , Soban Singh Jeena Campus, Kumaun University, Nainital, Uttarakhand, 263001, India, https://orcid.org/0000-0002-1958-8022
  • Jaya Upreti Department of Mathematics, Soban Singh Jeena Campus, SSJ University, Almora, Uttarakhand, 263601, India.

Keywords:

$\ast$-Yamabe conformal soliton, LP-Kenmotsu manifold, conformal killing vector field, torse forming vector field

Abstract

The primary objective of this paper is to examine the $\ast$-Yamabe conformal soliton, which exhibits a potential vector field that is torse-forming on a Lorentzian Para(LP)-Kenmotsu manifold. Next, we examine the characteristics of the scalar curvature for $\ast$-Yamabe conformal soliton on the LP-Kenmotsu manifold. The development of the description of the vector field in the context of the $\ast$-Yamabe conformal soliton has been undertaken. Furthermore, we have improved multiple applications of vector fields, specifically the formation of torse on a LP-Kenmotsu manifold, by utilizing a $\ast$-Yamabe conformal soliton. At last, we also provide an example for $\ast$-Yamabe conformal soliton on three-dimensional LP-Kenmotsu manifold.

Vol. 8 No. 1 (2025): International Journal of Maps in Mathematics

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Published

2025-03-23

How to Cite

Pandey, S., Almia, P., & Upreti, J. (2025). Investigation of $\ast$-Yamabe conformal soliton on LP-Kenmotsu manifolds. International Journal of Maps in Mathematics, 8(1), 106–124. Retrieved from https://simadp.com/journalmim/article/view/146

Issue

Vol. 8 No. 1 (2025): International Journal of Maps in Mathematics

Section

Articles

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