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http://dx.doi.org/10.4134/BKMS.b150666

EQUIVALENCE CONDITIONS OF SYMMETRY PROPERTIES IN LIGHTLIKE HYPERSURFACES OF INDEFINITE KENMOTSU MANIFOLDS

Lungiambudila, Oscar (Departement de Mathematiques et Informatique Faculte des Sciences Universite de Kinshasa (UNIKIN))
Massamba, Fortune (School of Mathematics Statistics and Computer Science University of KwaZulu-Natal)
Tossa, Joel (Institut de Mathematiques et de Sciences Physiques Universite Dabomey-Calavi)

Publication Information

Bulletin of the Korean Mathematical Society / v.53, no.4, 2016 , pp. 1259-1280 More about this Journal

Abstract

The paper deals with lightlike hypersurfaces which are locally symmetric, semi-symmetric and Ricci semi-symmetric in indefinite Kenmotsu manifold having constant $\bar{\phi}$ -holomorphic sectional curvature c. We obtain that these hypersurfaces are totally goedesic under certain conditions. The non-existence condition of locally symmetric lightlike hyper-surfaces are given. Some Theorems of specific lightlike hypersurfaces are established. We prove, under a certain condition, that in lightlike hyper-surfaces of an indefinite Kenmotsu space form, tangent to the structure vector field, the parallel, semi-parallel, local symmetry, semi-symmetry and Ricci semi-symmetry notions are equivalent.

Keywords

indefinite Kenmotsu space form; locally symmetric lightlike hypersurface; semi-symmetric lightlike hypersurface; Ricci semi-symmetric lightlike hypersurface;

Citations & Related Records

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