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Lightlike Submanifolds of Indefinite Sasakian Manifolds

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  • K. L. Duggal
  • B. Sahin

Abstract

We first prove some results on invariant lightlike submanifolds of indefinite Sasakian manifolds. Then, we introduce a general notion of contact Cauchy-Riemann (CR) lightlike submanifolds and study the geometry of leaves of their distributions. We also study a class, namely, contact screen Cauchy-Riemann (SCR) lightlike submanifolds which include invariant and screen real subcases. Finally, we prove characterization theorems on the existence of contact SCR, screen real, invariant, and contact CR minimal lightlike submanifolds.

Suggested Citation

  • K. L. Duggal & B. Sahin, 2007. "Lightlike Submanifolds of Indefinite Sasakian Manifolds," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2007, pages 1-21, March.
    • Handle: RePEc:hin:jijmms:057585
    DOI: 10.1155/2007/57585
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    Cited by:

    1. Fortuné Massamba & Samuel Ssekajja, 2016. "Some Remarks on Quasi-Generalized CR-Null Geometry in Indefinite Nearly Cosymplectic Manifolds," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2016, pages 1-10, November.
    2. Yaning Wang & Ximin Liu, 2012. "Generalized Transversal Lightlike Submanifolds of Indefinite Sasakian Manifolds," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-17, November.
    3. Rachna Rani & Rakesh Kumar & R. K. Nagaich, 2013. "Totally Contact Umbilical Lightlike Hypersurfaces of Indefinite -Manifolds," Journal of Mathematics, Hindawi, vol. 2013, pages 1-7, February.
    4. Feyza Esra Erdoğan & Selcen Yüksel Perktaş & Şerife Nur Bozdağ & Bilal Eftal Acet, 2023. "Lightlike Hypersurfaces of Meta-Golden Semi-Riemannian Manifolds," Mathematics, MDPI, vol. 11(23), pages 1-16, November.
    5. Varun Jain & Rakesh Kumar & R. K. Nagaich, 2012. "On GCR -Lightlike Product of Indefinite Cosymplectic Manifolds," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-12, August.

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