Screen Cauchy Riemann lightlike submanifolds |
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| Authors: | K L Duggal B Sahin |
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| Institution: | (1) Department of Mathematics and Statistics, University of Windsor, Windsor, Ontario, Canada N9B 3P4;(2) Department of Mathematics, Inonu University, 44100, Malatya, Turkey |
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| Abstract: | 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. |
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| Keywords: | CR-submanifold degenerate metric Kaehler manifold |
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