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) |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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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| ISSN: | 0126-6705 2180-4206 |