Screen integrable lightlike hypersurfacesof indefinite sasakian manifolds
PublisherBirkhäuser Basel. http://www.springerlink.com/content/110963/?p=c42ba01ff0bd482b81a3ebdf3b649c9a&pi=0
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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.