LORENTZIAN ALMOST PARACONTACT MANIFOLDS AND THEIR SUBMANIFOLDS

Tripathi, Mukut-Mani; Tripathi, Mukut-Mani; De, Uday-Chand; De, Uday-Chand

P-ISSN1226-0657
E-ISSN2287-6081
KCI

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Vol.8 No.2

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2001, v.8 no.2, pp.101-125

Tripathi, Mukut-Mani
De, Uday-Chand

Tripathi,, M. , & De,, U. (2001). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 8(2), 101-125.

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Abstract

This is a survey article on almost Lorentzian paracontact manifolds. The study of Lorentsian almost paracontact manifolds was initiated by Matsumoto [On Lorentzian paracontact manifolds, Bull. Yamagata Univ. Nat. Sci. 12 (1989), 151-l56]. Later on several authors studied Lorentzian almost paracontact manifolds and their different classes, viz. LP-Sasakian and LSP-Sasakian manifolds. Different types of submanifolds, for example invariant, semi-invariant and almost semi-invariant, of Lorentzian almost paracontact manifold have been studied. Here, we present a brief survey of results on Lorentzian almost paracontact manifolds with their different classes and their different kind of submanifolds.

keywords: CR, semi-invariant and almost semi-invariant submanifolds, Lorentzian almost paracontact, Lorentzian s-paracontact, LP-Sasakian and LSP-Sasakian manifolds

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Article Contents

Vol.8 No.2

Abstract

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics