THE AXIOM OF INDEFINITE SURFACES IN SEMI-RIEMANNIAN MANIFOLDS

한국수학교육학회지시리즈B:순수및응용수학 / 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 (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. 한국수학교육학회지시리즈B:순수및응용수학, 18(4), 353-359, https://doi.org/10.7468/jksmeb.2011.18.4.353

복사

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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논문 상세

Vol.18 No.4

THE AXIOM OF INDEFINITE SURFACES IN SEMI-RIEMANNIAN MANIFOLDS

THE AXIOM OF INDEFINITE SURFACES IN SEMI-RIEMANNIAN MANIFOLDS

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학