Lightlike Geometry of Leaves in Indefinite Kenmotsu Manifolds

In this paper, we study some aspects of the geometry of leaves of integrable distributions of lightlike hypersurfaces in indefinite Kenmotsu manifolds, tangent to the structure vector field. Theorems on parallel vector field, Killing distribution, geodesibility of lightlike hypersurfaces are obtaine...

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Autor principal:	Massamba,Fortuné
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2011
Materias:	Lightlike hypersurface Indefinite Kenmotsu manifold Screen distribution.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000300005
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spelling	oai:scielo:S0719-064620110003000052018-10-08Lightlike Geometry of Leaves in Indefinite Kenmotsu ManifoldsMassamba,Fortuné Lightlike hypersurface Indefinite Kenmotsu manifold Screen distribution. In this paper, we study some aspects of the geometry of leaves of integrable distributions of lightlike hypersurfaces in indefinite Kenmotsu manifolds, tangent to the structure vector field. Theorems on parallel vector field, Killing distribution, geodesibility of lightlike hypersurfaces are obtained. Some characterization Theorems of leaves of integrable distributions are given. We prove that there exists a distribution, subset of the screen distribution, in which, under the integrability condition, any totally contact umbilical leaf is an extrinsic sphere.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.13 n.3 20112011-10-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000300005en10.4067/S0719-06462011000300005
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Lightlike hypersurface Indefinite Kenmotsu manifold Screen distribution.
spellingShingle	Lightlike hypersurface Indefinite Kenmotsu manifold Screen distribution. Massamba,Fortuné Lightlike Geometry of Leaves in Indefinite Kenmotsu Manifolds
description	In this paper, we study some aspects of the geometry of leaves of integrable distributions of lightlike hypersurfaces in indefinite Kenmotsu manifolds, tangent to the structure vector field. Theorems on parallel vector field, Killing distribution, geodesibility of lightlike hypersurfaces are obtained. Some characterization Theorems of leaves of integrable distributions are given. We prove that there exists a distribution, subset of the screen distribution, in which, under the integrability condition, any totally contact umbilical leaf is an extrinsic sphere.
author	Massamba,Fortuné
author_facet	Massamba,Fortuné
author_sort	Massamba,Fortuné
title	Lightlike Geometry of Leaves in Indefinite Kenmotsu Manifolds
title_short	Lightlike Geometry of Leaves in Indefinite Kenmotsu Manifolds
title_full	Lightlike Geometry of Leaves in Indefinite Kenmotsu Manifolds
title_fullStr	Lightlike Geometry of Leaves in Indefinite Kenmotsu Manifolds
title_full_unstemmed	Lightlike Geometry of Leaves in Indefinite Kenmotsu Manifolds
title_sort	lightlike geometry of leaves in indefinite kenmotsu manifolds
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2011
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000300005
work_keys_str_mv	AT massambafortune lightlikegeometryofleavesinindefinitekenmotsumanifolds
_version_	1714206774298411008

Lightlike Geometry of Leaves in Indefinite Kenmotsu Manifolds

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