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Title:
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On semi-parallel lightlike hypersurfaces of indefinite Kenmotsu manifolds |
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Author:
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Massamba, F. |
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Abstract:
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We study semi-parallel lightlike hypersurfaces of an indefinite
Kenmotsu manifold, tangent to the structure vector field. Some Theorems
on parallel and semi-parallel vector field, geodesibility of lightlike
hypersurfaces are obtained. The geometrical configuration of such lightlike
hypersurfaces is established. We prove that, in totally contact umbilical
lightlike hypersurfaces of an indefinite Kenmotsu manifold which has
constant φ-holomorphic sectional curvature c, tangent to the structure
vector field and such that its distribution is parallel, the parallelism and
semi-parallelism notions are equivalent. |
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URI:
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http://hdl.handle.net/10311/539
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Date:
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2009 |
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Publisher:
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Birkhäuser Basel. http://www.springerlink.com/content/107580/?p=1930c3cc1de944feae211b785b3b42a4&pi= |
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xmlui.dri2xhtml.METS-1.0.item-link:
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http://www.springerlink.com/content/j0q88301r1114751/fulltext.pdf
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xmlui.dri2xhtml.METS-1.0.item-type:
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Published Article |