Screen conformal half-lightlike submanifolds

K. L. Duggal and B. Sahin

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-17

Abstract:

We study some properties of a half-lightlike submanifold M , of a semi-Riemannian manifold, whose shape operator is conformal to the shape operator of its screen distribution. We show that any screen distribution S ( T M ) of M is integrable and the geometry of M has a close relation with the nondegenerate geometry of a leaf of S ( T M ) . We prove some results on symmetric induced Ricci tensor and null sectional curvature of this class.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:317961

DOI: 10.1155/S0161171204403342

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