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Acta Mathematica Hungarica

, Volume 106, Issue 1–2, pp 137–165 | Cite as

Screen Cauchy Riemann lightlike submanifolds

  • K. L. Duggal
  • B. Sahin
Article

Summary

We introduce a new class of lightlike submanifolds, namely, Screen Cauchy Riemann (SCR) lightlike submanifolds of indefinite Kaehler manifolds. Contrary to CR-lightlike submanifolds, we show that SCR-lightlike submanifolds include invariant (complex) and screen real subcases of lightlike submanifolds. We study some properties of proper totally umbilical SCR-lightlike submanifolds, their invariant (complex) and screen real subcases.

CR-submanifold degenerate metric Kaehler manifold 

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Copyright information

© Springer-Verlag/Akadémiai Kiadó 2005

Authors and Affiliations

  • K. L. Duggal
    • 1
  • B. Sahin
    • 2
  1. 1.Department of Mathematics and Statistics, University of Windsor
  2. 2.Department of Mathematics, Inonu University, 44100

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