Browsing Mathematics by Author "Massamba, F."
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Massamba, F. (Birkhäuser Basel. http://www.springerlink.com/content/107580/?p=1930c3cc1de944feae211b785b3b42a4&pi=0, NaN, 2009)[more][less]
Abstract: 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. URI: http://hdl.handle.net/10311/539 Files in this item: 1
On semi-parallel.pdf (1.027Mb) -
Massamba, F. (Birkhäuser Basel. http://www.springerlink.com/content/110963/?p=c42ba01ff0bd482b81a3ebdf3b649c9a&pi=0, NaN, 2009)[more][less]
Abstract: We investigate lightlike hypersurfaces of indefinite Sasakian manifolds, tangent to the structure vector field and whose screen distribution is integrable. We prove some results on parallel vector fields and on a leaf of the integrable distribution D0? h i of this class. A theorem on a geometrical configuration of the screen distribution is obtained. We show that any totally contact umbilical leaf of a screen integrable distribution of a lightlike hypersurface is an extrinsic sphere. Description: The mathematical symbols may not come as they are in the abstract. URI: http://hdl.handle.net/10311/689 Files in this item: 1
Screen Integrable Lightlike.pdf (1.251Mb)
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