대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제47권4호
  • /
  • Pages.859-881
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  • 2010
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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HELICOIDAL SURFACES AND THEIR GAUSS MAP IN MINKOWSKI 3-SPACE

  • Choi, Mie-Kyung (DEPARTMENT OF MATHEMATICS KYUNGPOOK NATIONAL UNIVERSITY) ;
  • Kim, Young-Ho (DEPARTMENT OF MATHEMATICS KYUNGPOOK NATIONAL UNIVERSITY) ;
  • Liu, Huili (DEPARTMENT OF MATHEMATICS NORTHEASTERN UNIVERSITY) ;
  • Yoon, Dae-Won (DEPARTMENT OF MATHEMATICS EDUCATION AND RINS GYEONGSANG NATIONAL UNIVERSITY)
  • 투고 : 2009.03.10
  • 발행 : 2010.07.31
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⟨ 이전 논문 다음 논문 ⟩

초록

The helicoidal surface is a generalization of rotation surface in a Minkowski space. We study helicoidal surfaces in a Minkowski 3-space in terms of their Gauss map and provide some examples of new classes of helicoidal surfaces with constant mean curvature in a Minkowski 3-space.

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참고문헌

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피인용 문헌

  1. SHAPE OPERATOR AND GAUSS MAP OF POINTWISE 1-TYPE vol.52, pp.6, 2015, https://doi.org/10.4134/JKMS.2015.52.6.1337
  2. CLASSIFICATIONS OF HELICOIDAL SURFACES WITH L1-POINTWISE 1-TYPE GAUSS MAP vol.50, pp.4, 2013, https://doi.org/10.4134/BKMS.2013.50.4.1345
  3. Classifications of Canal Surfaces with L1-Pointwise 1-Type Gauss Map vol.83, pp.1, 2015, https://doi.org/10.1007/s00032-015-0233-2
  4. HELICOIDAL SURFACES OF THE THIRD FUNDAMENTAL FORM IN MINKOWSKI 3-SPACE vol.52, pp.5, 2015, https://doi.org/10.4134/BKMS.2015.52.5.1569
  5. The Gauss Map and the Third Laplace-Beltrami Operator of the Rotational Hypersurface in 4-Space vol.10, pp.9, 2018, https://doi.org/10.3390/sym10090398