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Screen conformal half-lightlike submanifolds

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  • K. L. Duggal
  • B. Sahin

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.

Suggested Citation

  • K. L. Duggal & B. Sahin, 2004. "Screen conformal half-lightlike submanifolds," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-17, January.
    • Handle: RePEc:hin:jijmms:317961
    DOI: 10.1155/S0161171204403342
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