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

Title & Authors
EINSTEIN LIGHTLIKE HYPERSURFACES OF A LORENTZIAN SPACE FORM WITH A SEMI-SYMMETRIC METRIC CONNECTION
Jin, Dae Ho;

Abstract
In this paper, we prove a classification theorem for Einstein lightlike hypersurfaces M of a Lorentzian space form ($\small{\bar{M}}$(c), $\small{\bar{g}}$) 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;
Language
English
Cited by
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