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SURFACES OF REVOLUTION WITH POINTWISE 1-TYPE GAUSS MAP

최미경|Young Ho Kim|Bang-Yen Chen
대한수학회 (The Korean Mathematical Society)|2005.05|대한수학회지 (Journal of the KMS)|제42권 제3호|pp. 447-455

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참고문헌

주제분류수학

초록

Abstract

In this article, we introduce the notion of pointwise 1- type Gauss map of the ¯rst and second kinds and study surfaces of revolution with such Gauss map. Our main results state that surfaces of revolution with pointwise 1-type Gauss map of the ¯rst kind coincide with surfaces of revolution with constant mean curva- ture; and the right cones are the only rational surfaces of revolution with pointwise 1-type Gauss map of the second kind.

참고문헌 (9)

  1. "On the Gauss map of ruled surfaces", 34, pp.355~359 (1992)
  2. "Ruled surfaces and tubes withnite type Gauss map", 16, pp.341~348urfacesofrevolutionwithpointwise1typeaussmap455 (1993)
  3. "On classication of some surfaces of revolution ofnite type", 17, pp.287~298 (1993)
  4. "Submanifolds with nite type Gauss map", 35, pp.161~186 (1987)
  5. "Characterization of the helicoid as ruled surfaces withpointwise 1-type Gauss map", 38, pp.753~761 (2001)
  6. "Ruled surfaces with nite type Gauss map inMinkowski spaces", 26, pp.85~96 (2000)
  7. "Ruled surfaces with pointwise 1-type Gauss map", 34, pp.191~205 (2000)
  8. "Dierential geometry and its applications" (1997), Prentice Hall
  9. "Dierential geometry and its applications" (1997), Prentice Hall

관련 논문AI추천

Rotation surfaces with 1-type Gauss mapAthoumane Niang대한수학회 · 대한수학회보2005 · 제42권 제1호On rotation surfaces in the Minkowski 3-dimensional spacewith pointwise 1-type gauss mapAthoumane Niang대한수학회 · 대한수학회지2004 · 제41권 제6호On rotation surfaces in the Minkowski $3-$dimensional space with pointwise $1$-type gauss mapAthoumane Niang대한수학회 · 대한수학회지2004 · 제41권 제6호Surfaces of revolution with pointwise 1-type Gauss map in pseudo-Galilean space최미경, Dae Won Yoon대한수학회 · 대한수학회보2016 · 제53권 제2호SURFACES WITH POINTWISE 1-TYPE GAUSS MAP김동수한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제4호Surfaces of Revolution of Type 1 in Galilean 3-SpaceAli Cakmak, Hasan Es, Murat Kemal Karacan, Sezai Kiziltug경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제3호

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