대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제51권6호
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  • Pages.1863-1874
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  • 2014
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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BOOST INVARIANT SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN MINKOWSKI 4-SPACE E41

  • 투고 : 2013.12.03
  • 발행 : 2014.11.30
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초록

In this paper, we study spacelike rotational surfaces which are called boost invariant surfaces in Minkowski 4-space $\mathbb{E}^4_1$. We give necessary and sufficient condition for flat spacelike rotational surface to have pointwise 1-type Gauss map. Also, we obtain a characterization for boost invariant marginally trapped surface with pointwise 1-type Gauss map.

키워드

참고문헌

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피인용 문헌

  1. Hypersurfaces with Generalized 1-Type Gauss Maps vol.6, pp.8, 2018, https://doi.org/10.3390/math6080130
  2. Classifications of Flat Surfaces with Generalized 1-Type Gauss Map in $${\mathbb L}^{3}$$L3 vol.15, pp.3, 2018, https://doi.org/10.1007/s00009-018-1123-y
  3. Dini-Type Helicoidal Hypersurfaces with Timelike Axis in Minkowski 4-Space E14 vol.7, pp.2, 2019, https://doi.org/10.3390/math7020205