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http://dx.doi.org/10.4134/CKMS.c150135

LIGHTLIKE HYPERSURFACES OF AN INDEFINITE GENERALIZED SASAKIAN SPACE FORM WITH A SYMMETRIC METRIC CONNECTION OF TYPE (ℓ, m)

Jin, Dae Ho (Department of Mathematics Dongguk University)

Publication Information

Communications of the Korean Mathematical Society / v.31, no.3, 2016 , pp. 613-624 More about this Journal

Abstract

We define a new connection on a semi-Riemannian manifold. Its notion contains two well known notions; (1) semi-symmetric connection and (2) quarter-symmetric connection. In this paper, we study the geometry of lightlike hypersurfaces of an indefinite generalized Sasakian space form with a symmetric metric connection of type ( ${\ell}$ , m).

Keywords

symmetric connection of type ( ${\ell}$ , m); metric connection; lightlike hypersurface;

Citations & Related Records

Reference

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