Title of article
A remark on the axiom of spheres with lightlike submanifolds and application of Jacobi equation
Author/Authors
Jamali، Mohammed نويسنده Jamia Millia Islamia Central University , , Jun، Jae-Bok نويسنده Kookmin University , , Shahid، Mohammad نويسنده Limb Reconstruction Unit, Queen Elizabeth Hospital, Birmingham, UK , , Ahmad، Mobin نويسنده Integral University ,
Issue Information
دوفصلنامه با شماره پیاپی سال 2014
Pages
10
From page
565
To page
574
Abstract
In this paper we improve the axiom of r-planes(r-spheres) for lightlike submanifolds given by Kumar, Rani and Nagaich. Moreover we introduce another axiom called axiom of r-submanifolds. We prove that if a lightlike submanifold (M,g,S(TM),S(TM?)) of a semi-Riemannian manifold (M,g) satisfies axiom of r-submanifolds, then it is a real space form. We also use Jacobi equation and obtain some related results to totally umbilical lightlike submanifold of semi-Riemannian manifold.
Journal title
Bulletin of the Malaysian Mathematical Sciences Society
Serial Year
2014
Journal title
Bulletin of the Malaysian Mathematical Sciences Society
Record number
2238662
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