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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ASCREEN LIGHTLIKE HYPERSURFACES OF AN INDEFINITE SASAKIAN MANIFOLD

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
2013, v.20 no.1, pp.25-35
https://doi.org/10.7468/jksmeb.2013.20.1.25
Jin, Dae Ho

Abstract

In this paper, we study lightlike hypersurfaces of an indefinite Sasakian manifold <TEX>$\bar{M}$</TEX>. First, we construct a type of lightlike hypersurface according to the form of the structure vector field of <TEX>$\bar{M}$</TEX>, named by ascreen lightlike hypersurface. Next, we characterize the geometry of such ascreen lightlike hypersurfaces.

keywords
totally geodesic, semi-symmetric manifold, ascreen lightlike hypersurface, indefinite Sasakian manifold

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