The axioms of indefinite hemi-slant planes and spheres
- Authors: Sachdeva R.1, Kumar R.1, Bhatia S.S.2
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Affiliations:
- Department of Basic and Applied Sciences
- School ofMathematics
- Issue: Vol 38, No 1 (2017)
- Pages: 125-130
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198741
- DOI: https://doi.org/10.1134/S1995080217010188
- ID: 198741
Cite item
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.
About the authors
Rashmi Sachdeva
Department of Basic and Applied Sciences
Author for correspondence.
Email: rashmi.sachdeva86@gmail.com
India, Punjab, 147002
Rakesh Kumar
Department of Basic and Applied Sciences
Email: rashmi.sachdeva86@gmail.com
India, Punjab, 147002
Satvinder Singh Bhatia
School ofMathematics
Email: rashmi.sachdeva86@gmail.com
India, Punjab, 147001