대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제49권2호
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  • Pages.271-284
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  • 2012
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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LINEAR WEINGARTEN SPACELIKE HYPERSURFACES IN LOCALLY SYMMETRIC LORENTZ SPACE

  • Yang, Dan (College of Sciences Shenyang University)
  • 투고 : 2010.10.21
  • 발행 : 2012.03.31
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⟨ 이전 논문 다음 논문 ⟩

초록

Let M be a linear Weingarten spacelike hypersurface in a locally symmetric Lorentz space with R = aH + b, where R and H are the normalized scalar curvature and the mean curvature, respectively. In this paper, we give some conditions for the complete hypersurface M to be totally umbilical.

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참고문헌

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피인용 문헌

  1. On the Gauss map of Weingarten hypersurfaces in hyperbolic spaces vol.47, pp.4, 2016, https://doi.org/10.1007/s00574-016-0203-5
  2. LINEAR WEINGARTEN HYPERSURFACES IN RIEMANNIAN SPACE FORMS vol.51, pp.2, 2014, https://doi.org/10.4134/BKMS.2014.51.2.567