논문KCI 등재
TOTALLY UMBILIC SPACELIKE SURFACES OF TYPE (I) IN Lⁿ
한국수학교육학회|2009.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제16권 제4호|pp. 417-425
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In this paper we show that spheres in E³⊂ Lⁿ and pseudohyperbolic spaces in L³⊂ Lⁿ are the only totally umbilic spacelike surfaces of type (I) in Lⁿ.
Abstract
In this paper we show that spheres in E³⊂ Lⁿ and pseudohyperbolic spaces in L³⊂ Lⁿ are the only totally umbilic spacelike surfaces of type (I) in Lⁿ.
참고문헌 (5)
- Graves, L, "Codimension one isometric immersions betweem Lorentzian spaces", Trans.Amer. Math. Soc, 252, pp.367~392 (1979)
- Graves, L, "On codimension one isometric immersions between indefinite space forms", Tsukuba J. Math, 3(2), pp.17~29 (1979)
- Hoffman, D, "The geometry of the generalized Gauss map", Memoires Amer. Math. Soc, 28 (1980)
- O'Neil, B, "Semi-Riemannian Geometry with application to Relativity" (1983), Academic Press
- Spivak, M, "Introduction to Differential Geometry IV" (1979), Publish or Perish Inc
관련 논문AI추천
Maximal Hypersurfaces of (m+2)-Dimensional Lorentzian Space FormsUur Dursun경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제1호ON COMPLETE SPACELIKE (r − 1)-MAXIMAL HYPERSURFACES IN THE ANTI-DE SITTER SPACE Hn+1 1 (−1)Biaogui Yang대한수학회 · 대한수학회보2010 · 제47권 제5호LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE진대호대한수학회 · 대한수학회논문집2012 · 제27권 제4호On the Geometry of Lightlike Submanifolds강태호경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제2호LINEAR WEINGARTEN SPACELIKE HYPERSURFACES IN LOCALLY SYMMETRIC LORENTZ SPACEDan Yang대한수학회 · 대한수학회보2012 · 제49권 제2호LIGHTLIKE REAL HYPERSURFACES WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS진대호대한수학회 · 대한수학회논문집2010 · 제25권 제3호
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