Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature

Author:

Jin Dae Ho1,Lee Jae Won2

Affiliation:

1. Department of Mathematics , Dongguk University , Kyongju 780-714 , Korea

2. Department of Mathematics Education and RINS , Gyeongsang National University of Education , Jinju 52828 , Republic of Korea

Abstract

Abstract We study lightlike hypersurfaces M of an indefinite Kaehler manifold of quasi-constant curvature subject to the condition that the characteristic vector field ζ of is tangent to M. First, we provide a new result for such a lightlike hypersurface. Next, we investigate such a lightlike hypersurface M of such that (1) the screen distribution S(TM) is totally umbilical or (2) M is screen conformal.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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