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The axioms of indefinite hemi-slant planes and spheres

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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.

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Authors and Affiliations

  1. Department of Basic and Applied Sciences, Punjabi University, Patiala, 147002, Punjab, India

    Rashmi Sachdeva & Rakesh Kumar

  2. School ofMathematics, Thapar University, Patiala, 147001, Punjab, India

    Satvinder Singh Bhatia

Authors
  1. Rashmi Sachdeva
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  2. Rakesh Kumar
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  3. Satvinder Singh Bhatia
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Corresponding author

Correspondence to Rashmi Sachdeva.

Additional information

Submitted by M. A.Malakhaltsev

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Sachdeva, R., Kumar, R. & Bhatia, S.S. The axioms of indefinite hemi-slant planes and spheres. Lobachevskii J Math 38, 125–130 (2017). https://doi.org/10.1134/S1995080217010188

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  • DOI: https://doi.org/10.1134/S1995080217010188

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