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Relative nullity foliations and lightlike hypersurfaces in indefinite Kenmotsu manifolds
η-Einstein lightlike hypersurfaces Indefinite Kenmotsu manifold Relative nullity foliation Screen distribution
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2011/4/6
This paper deals with the relative nullity distributions of lightlike hypersurfaces of indefinite Kenmotsu space forms, tangent to the structure vector field. Theorems on parallel vector fields are ob...
Killing and Geodesic Lightlike Hypersurfaces of Indefinite Sasakian Manifolds
Lightlike Hypersurfaces Indefinite Sasakian Screen Distribution
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2010/2/25
In this paper, we study a lightlike hypersurface of indefinite Sasakian manifold, tangent to the structure vector field x. Theorems on parallel and Killing distributions are obtained. Necessary and su...
On Non-Existence of Lightlike Hypersurfaces of Indefinite Kenmotsu Space Form
Lightlike hypersurface Kenmotsu space form
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2010/2/25
In this paper, lightlike hypersurfaces of indefinite Kenmotsu space form are studied. Some characterizations of non-existence of lightlike hypersurfaces of indefinite Kenmotsu space form are given.
Lightlike Hypersurfaces of Semi-Euclidean Spaces Satisfying Curvature Conditions of Semisymmetry Type
Degenerate metric Screen conformal lightlike hypersurface Parallel lightlike hypersurface Semi-symmetric lightlike hypersurface
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2010/2/26
In this paper, we investigate lightlike hypersurfaces which are semi-symmetric, Ricci semi-symmetric, parallel or semi-parallel in a semi-Euclidean space. We obtain that every screen conformal lightli...
On Lightlike Hypersurfaces of a Semi-Riemannian Space form
Lightlike Hypersurfaces Semi-Riemannian Space form
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2010/3/1
In this paper, we study a Lightlike hypersurface of a semi-Riemann manifold. We show that a lightlike hypersurface is totally geodesic if and only if it is locally symmetric. Also, we show that a ligh...