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HELICOIDAL SURFACES AND THEIR GAUSS MAP IN MINKOWSKI 3-SPACE

김영호|윤대원|Huili Liu|최미경
대한수학회 (The Korean Mathematical Society)|2010.07|대한수학회보 (Bulletin of the KMS)|제47권 제4호|pp. 859-881

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참고문헌

키워드

helicoidal surfacesMinkowski spacepointwise 1-type Gauss mapEnneper's surface
주제분류수학

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.

Abstract

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.

참고문헌 (13)

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  8. B.-Y. Chen, "Submanifolds with finite type Gauss map", Bull. Austral. Math. Soc., 35(2), pp.161~186 (1987)
  9. M. Choi, "Characterization of the helicoid as ruled surfaces with pointwise 1-type Gauss map", Bull. Korean Math. Soc., 38(4), pp.753~761 (2001)
  10. F. Ji, "Helicoidal surfaces under the cubic screw motion in Minkowski 3-space", J. Math. Anal. Appl., 318(2), pp.634~647 (2006)
  11. U.-H. Ki, "Surfaces of revolution with pointwise 1-type Gauss map in Minkowski 3-space", Taiwanese J. Math., 13(1), pp.317~338 (2009)
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관련 논문AI추천

HELICOIDAL SURFACES OF THE THIRD FUNDAMENTAL FORM IN MINKOWSKI 3-SPACE윤대원, 최미경대한수학회 · 대한수학회보2015 · 제52권 제5호Helicoidal surfaces and their Gauss map in Minkowski 3-space II김영호, 최미경, Gi-Chan Park대한수학회 · 대한수학회보2009 · 제46권 제3호Classifications of helicoidal surfaces with L1-pointwise 1-type Gauss map김영호, Nurettin Cenk Turgay대한수학회 · 대한수학회보2013 · 제50권 제4호On the Gauss map of helicoidal surfaces김동수, 김영호, 김원용대한수학회 · 대한수학회논문집2017 · 제32권 제3호Helicoidal surfaces with pointwise 1-type Gauss map최미경, Dong-Soo Kim, Young Ho Kim대한수학회 · 대한수학회지2009 · 제46권 제1호On spacelike rotational surfaces with pointwise 1-type Gauss mapUgur Dursun대한수학회 · 대한수학회보2015 · 제52권 제1호

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