Abstract.
We investigate lightlike hypersurfaces of indefinite Sasakian manifolds, tangent to the structure vector field ξ and whose screen distribution is integrable. We prove some results on parallel vector fields and on a leaf of the integrable distribution \(D_{0} \perp \langle\xi\rangle\) 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.
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Received: February 22, 2008., Revised: June 18, 2008., Accepted: July 10, 2008.
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Massamba, F. Screen Integrable Lightlike Hypersurfaces of Indefinite Sasakian Manifolds. MedJM 6, 27–46 (2009). https://doi.org/10.1007/s00009-009-0165-6
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DOI: https://doi.org/10.1007/s00009-009-0165-6