LP-KENMOTSU MANIFOLD ADMITTING SCHOUTEN-VAN KAMPEN CONNECTION
By
Pawan Bhatt and S.K. Chanyal
Department of mathematics, D.S.B. Campus
Kumaun University Nainital, Uttarakhand-263001, India
Email: pawanbhatt500@gmail.com and skchanyal.math@gmail.com
(Received : Novermer 29, 2021; In format : December 13, 2021; Accepted : July 30, 2022)
DOI: https://doi.org/10.58250/jnanabha.2022.52203
Abstract
In this paper we study Schouten-van Kampen connection on a Lorentzian para-Kenmotsu manifolds M. We obtain
curvature tensor Ř, Ricci tensor Ŝ and scalar curvature ř, with respect to Schouten-van Kampen connection and study their properties. Further, we take some curvature conditions like Ř·Ŝ = 0, Ŝ·Ř = 0 etc., on M and prove Ř·Ć = Ř·Ř. We also consider the cases when M is ξ-concircularly flat, pseudo concircularly flat, φ-concircularly semisymmetric and obtain some interesting results.
2010 Mathematics Subject Classification: 53C15, 53C25, 53D15.
Keywords and Phrases: Lorentzian para-Kenmotsu manifold; Schouten-van Kampen Connection; Concircular curvature tensor; η-Einstein manifold.