Characterization of m-quasi-Einstein structures in LP-Kenmotsu manifolds

Authors

  • Puttasiddappa Somashekhara Department of Mathematics, I. D. S. G. Govt. College, Chikkamagalur-577102, Karnataka https://orcid.org/0009-0002-4177-8217
  • Arasaiah Department of Mathematics, Sir M. V. Govt. Science College, Bommanakatte, Bhadravathi-577302, Karnataka https://orcid.org/0000-0002-1755-9789
  • Basvaraju Phalaksha Murthy Department of Mathematics, Govt. First Grade College, Kadur - 577548, Karnataka, https://orcid.org/0000-0001-7125-6749
  • Kodidoddi Chikkalingaiah Ajeyakashi Department of Data Analytics and Mathematical Science, Faculty of Engineering and Technology, Jain (Deemed-to-be University), Global Campus-562112, Karnataka
  • Ananda K New Horizon College of Engineering https://orcid.org/0000-0003-3848-0997

Keywords:

LP-Kenmotsu manifolds; m-Quasi-Einstein structures; Einstein manifolds; Conformal vector field

Abstract

In this paper, we investigate $m$-quasi Einstein metrics on LP-Kenmotsu manifolds, a recently introduced class of Lorentzian paracontact metric manifolds. We derive the curvature identity associated with a closed $m$-quasi Einstein structure and classify LP-Kenmotsu manifolds admitting such metrics. It is shown that if the potential vector field is conformal, collinear with the unit timelike vector field, or a strict infinitesimal contact transformation, then the manifold is either Einstein or $\eta$-Einstein under suitable conditions. Furthermore, we prove that the scalar curvature of such manifolds is necessarily constant.

Vol. 9(1) (2026): International Journal of Maps in Mathematics

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Published

2026-03-16

How to Cite

Puttasiddappa Somashekhara, Arasaiah, Basvaraju Phalaksha Murthy, Kodidoddi Chikkalingaiah Ajeyakashi, & K, A. (2026). Characterization of m-quasi-Einstein structures in LP-Kenmotsu manifolds. International Journal of Maps in Mathematics, 9(1), 35–44. Retrieved from https://simadp.com/journalmim/article/view/401

Issue

Vol. 9 No. 1 (2026): International Journal of Maps in Mathematics

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Article

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