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Lobachevskii Journal of Mathematics

, Volume 38, Issue 1, pp 125–130 | Cite as

The axioms of indefinite hemi-slant planes and spheres

  • Rashmi Sachdeva
  • Rakesh Kumar
  • Satvinder Singh Bhatia
Article
  • 22 Downloads

Abstract

We define the axiom of indefinite hemi-slant 3-planes and 3-spheres for an indefinite almost Hermitian manifold with lightlike submanifolds. We prove that if an indefinite Kaehler manifold satisfies the axioms of indefinite hemi-slant 3-planes and 3-spheres for some slant angle θ ∈ (0, π/2) then it is an indefinite complex space form.

Keywords and phrases

Hemi-slant lightlike submanifolds Axioms of indefinite hemi-slant 3-planes and 3-spheres Indefinite Kaehler manifolds 

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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  • Rashmi Sachdeva
    • 1
  • Rakesh Kumar
    • 1
  • Satvinder Singh Bhatia
    • 2
  1. 1.Department of Basic and Applied SciencesPunjabi University, PatialaPunjabIndia
  2. 2.School ofMathematicsThapar University, PatialaPunjabIndia

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