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.

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


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