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http://dx.doi.org/10.4134/CKMS.2013.28.1.163

EINSTEIN LIGHTLIKE HYPERSURFACES OF A LORENTZIAN SPACE FORM WITH A SEMI-SYMMETRIC METRIC CONNECTION

Jin, Dae Ho (Department of Mathematics Dongguk University)

Publication Information

Communications of the Korean Mathematical Society / v.28, no.1, 2013 , pp. 163-175 More about this Journal

Abstract

In this paper, we prove a classification theorem for Einstein lightlike hypersurfaces M of a Lorentzian space form ( $\bar{M}$ (c), $\bar{g}$ ) with a semi-symmetric metric connection subject such that the second fundamental forms of M and its screen distribution S(TM) are conformally related by some non-zero constant.

Keywords

screen homothetic; Einstein manifold; semi-symmetric metric connection;

Citations & Related Records

Reference

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