한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제18권4호
  • /
  • Pages.353-359
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  • 2011
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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THE AXIOM OF INDEFINITE SURFACES IN SEMI-RIEMANNIAN MANIFOLDS

  • 투고 : 2011.08.29
  • 심사 : 2011.11.18
  • 발행 : 2011.11.30
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초록

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.

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참고문헌

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  6. Leung, D.S. & Nomizu, K.: The axiom of spheres in Riemannian geometry. J. Differential Geometry 5 (1971), 487 - 489. https://doi.org/10.4310/jdg/1214430010
  7. O'Neill, B.: Semi - Riemannian Geometry with Applications to Relativity. Academic Press, 1983.