A Remark on the Axiom of Spheres with Lightlike Submanifolds and Application of Jacobi Equation

A Remark on the Axiom of Spheres with Lightlike Submanifolds and Application of Jacobi Equation

In this paper we improve the axiom of ...-planes(...-spheres) for lightlike submanifolds given by Kumar, Rani and Nagaich. Moreover we introduce another axiom called axiom of ...-submanifolds. We prove that if a lightlike submanifold ... of a semi-Riemannian manifold ... satisfies axiom of ...-subma...

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Veröffentlicht in:Bulletin of the Malaysian Mathematical Sciences Society 2014-01, Vol.37 (2)
Hauptverfasser: Jamali, Mohammed, Jun, JaeBok, Shahid, Mohammad Hasan, Ahmad, Mobin
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creator Jamali, Mohammed
Jun, JaeBok
Shahid, Mohammad Hasan
Ahmad, Mobin
description In this paper we improve the axiom of ...-planes(...-spheres) for lightlike submanifolds given by Kumar, Rani and Nagaich. Moreover we introduce another axiom called axiom of ...-submanifolds. We prove that if a lightlike submanifold ... of a semi-Riemannian manifold ... satisfies axiom of ...-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. 2010 Mathematics Subject Classification: 53B25, 53C40, 53C50 (ProQuest: ... denotes formulae omitted.)
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title A Remark on the Axiom of Spheres with Lightlike Submanifolds and Application of Jacobi Equation
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