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Mediterranean Journal of Mathematics

, Volume 8, Issue 2, pp 215–227 | Cite as

Slant Lightlike Submanifolds of Indefinite Cosymplectic Manifolds

  • Ram Shankar Gupta
  • Abhitosh Upadhyay
  • A. Sharfuddin
Article

Abstract

In this paper, we introduce the notion of a slant lightlike submanifold of an indefinite Cosymplectic manifold. We provide a nontrivial example and obtain necessary and sufficient conditions for the existence of a slant lightlike submanifold. Also, we give an example of a minimal slant lightlike submanifold of \({R^{9}_{2}}\) and prove some characterization Theorems.

Mathematics Subject Classification (2010)

Primary 53C40 Secondary 53C15 53C50 53D15 

Keywords

Degenerate metric slant lightlike submanifolds cosymplectic manifold 

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Copyright information

© Springer Basel AG 2010

Authors and Affiliations

  • Ram Shankar Gupta
    • 1
  • Abhitosh Upadhyay
    • 1
  • A. Sharfuddin
    • 2
  1. 1.University School of Basic and Applied Sciences, Guru Gobind Singh Indraprastha UniversityDelhiIndia
  2. 2.Department of Mathematics, Faculty of Natural SciencesJamia Millia Islamia (Central University)New DelhiIndia

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