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Title of Journal: J Geom

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Abbravation: Journal of Geometry

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SP Birkhäuser Verlag Basel

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DOI

10.1007/s10006-009-0168-2

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1420-8997

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On semiparallel lightlike hypersurfaces of indefi

Authors: Fortuné Massamba
Publish Date: 2010/02/16
Volume: 95, Issue: 1-2, Pages: 73-89
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Abstract

We study semiparallel lightlike hypersurfaces of an indefinite Kenmotsu manifold tangent to the structure vector field Some Theorems on parallel and semiparallel 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 overlinephiholomorphic sectional curvature c tangent to the structure vector field and such that its distribution is parallel the parallelism and semiparallelism notions are equivalent

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  1. A New Class of Translation Planes Constructed by Hyper-regulus Replacement
  2. Propellers in Affine Cayley–Klein Planes
  3. Deformation of minimal surfaces with planar curvature lines
  4. Rakić duality principle in the almost Hermitian geometry
  5. On compact semisimple Lie groups as 2-plectic manifolds
  6. An axiomatic look at the Erdős-Trost problem
  7. An Obata type result for the first eigenvalue of the sub-Laplacian on a CR manifold with a divergence-free torsion
  8. Linearly small elation quadrangles
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