한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제8권2호
  • /
  • Pages.101-125
  • /
  • 2001
  • /
  • 1226-0657(pISSN)
  • /
  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
권호 표지

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)
  • 발행 : 2001.11.01
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초록

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.

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