The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 8 Issue 2
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- Pages.101-125
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- 2001
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
LORENTZIAN ALMOST PARACONTACT MANIFOLDS AND THEIR SUBMANIFOLDS
- Tripathi, Mukut-Mani (Department of Mathematics, College of Natural Sciences, Chonnam National University) ;
- De, Uday-Chand (Department of Mathematics, University of Kalyani)
- Published : 2001.11.01
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