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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.18 No.4

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THE AXIOM OF INDEFINITE SURFACES IN SEMI-RIEMANNIAN MANIFOLDS

THE AXIOM OF INDEFINITE SURFACES IN SEMI-RIEMANNIAN MANIFOLDS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2011, v.18 no.4, pp.353-359
https://doi.org/10.7468/jksmeb.2011.18.4.353
Lee, Jae-Won (Department of Mathematics, Sogang University)
Jin, Dae-Ho (Department of Mathematics, Dongguk University)
Lee, Jae-Won, & Jin, Dae-Ho. (2011). THE AXIOM OF INDEFINITE SURFACES IN SEMI-RIEMANNIAN MANIFOLDS. , 18(4), 353-359, https://doi.org/10.7468/jksmeb.2011.18.4.353

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

참고문헌

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한국수학교육학회지시리즈B:순수및응용수학

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