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ISSN : 1226-0657

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Vol.18 No.4
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THE AXIOM OF INDEFINITE SURFACES IN SEMI-RIEMANNIAN MANIFOLDS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2011, v.18 no.4, pp.353-359
https://doi.org/10.7468/jksmeb.2011.18.4.353
Lee, Jae-Won
Jin, Dae-Ho
Lee,, J. , & Jin,, D. (2011). THE AXIOM OF INDEFINITE SURFACES IN SEMI-RIEMANNIAN MANIFOLDS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 18(4), 353-359, https://doi.org/10.7468/jksmeb.2011.18.4.353
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Abstract

In this paper, we characterize a semi-Riemannian manifolds satisfies the axiom of indefinite surfaces. We obtain the following result: If a semi-Riemannian manifold satisfies the axiom of indefinite surfaces, then it is a real space form.

keywords
lightlike submanifolds, totally umbilical, indefinite <tex> ${\ell}$</tex>-surfaces

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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