STUDY ON DIFFERENT TYPES OF CONNECTIONS ON CHAKI-PSEUDO PARALLEL INVARIANT SUBMANIFOLDS OF LORENTZIAN PARA-KENMOTSU MANIFOLD

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 33

Volume : 20 , Issue : 1
DOI: https://doi.org/10.56827/SEAJMMS.2024.2001.26
Author :
C. Aishwarya (Department of P.G. Studies and Research in Mathematics, Kuvempu University, Shankaraghatta - 577451, Shimoga, Karnataka, INDIA)
V. Venkatesha (Department of P.G. Studies and Research in Mathematics, Kuvempu University, Shankaraghatta - 577451, Shimoga, Karnataka, INDIA)

Abstract

The focus of this research is to investigate Chaki-pseudo parallel submanifolds in Lorentzian para-Kenmotsu manifolds. This study examines the properties of these submanifolds, including their totally geodesic nature under different connections such as the semisymmetric connection, Schouten-van Kampen connection, and Tanaka Webstar connections.

Keywords and Phrases

Lorentzian para-Kenmotsu manifold, invariant submanifold, totally geodesic submanifold, semisymmetric metric connection, Schouten-van Kampen connection and Tanaka Webstar connections.

A.M.S. subject classification

53B15, 53C05, 53C17, 53C40.

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