Abstract

Recently, paper [6] studied lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection. In this paper, we study further the geometry of this subject. The object of this paper is to study two types of lightlike hypersurfaces, named by recurrent and Lie recurrent lightlike hypersurfaces, of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection. Mathematics Subject Classification: 53C25, 53C40, 53C50

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