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Classifications of helicoidal surfaces with L1-pointwise 1-type Gauss map

김영호|Nurettin Cenk Turgay
대한수학회 (The Korean Mathematical Society)|2013.07|대한수학회보 (Bulletin of the KMS)|제50권 제4호|pp. 1345-1356

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참고문헌

키워드

Gauss mapCheng-Yau operatorhelicoidal surfacerotational surfaceL1-pointwise 1-typeLie point symmetry
주제분류수학

초록

In this paper, we study rotational and helicoidal surfaces in Euclidean 3-space in terms of their Gauss map. We obtain a complete classification of these type of surfaces whose Gauss maps G satisfy L1G = f(G+C) for some constant vector C ∈ E3 and smooth function f, where L1 denotes the Cheng-Yau operator.

Abstract

In this paper, we study rotational and helicoidal surfaces in Euclidean 3-space in terms of their Gauss map. We obtain a complete classification of these type of surfaces whose Gauss maps G satisfy L1G = f(G+C) for some constant vector C ∈ E3 and smooth function f, where L1 denotes the Cheng-Yau operator.

참고문헌 (23)

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관련 논문AI추천

On the Gauss map of helicoidal surfaces김동수, 김영호, 김원용대한수학회 · 대한수학회논문집2017 · 제32권 제3호Surfaces in E3 with L1-pointwise 1-type Gauss map김영호, Nurettin Cenk Turgay대한수학회 · 대한수학회보2013 · 제50권 제3호Helicoidal surfaces and their Gauss map in Minkowski 3-space II김영호, 최미경, Gi-Chan Park대한수학회 · 대한수학회보2009 · 제46권 제3호ON POINTWISE 1-TYPE GAUSS MAP OF SURFACES IN E3 1 CONCERNING CHENG-YAU OPERATOR김영호, Nurettin Cenk Turgay대한수학회 · 대한수학회지2017 · 제54권 제2호Helicoidal surfaces with pointwise 1-type Gauss map최미경, Dong-Soo Kim, Young Ho Kim대한수학회 · 대한수학회지2009 · 제46권 제1호On the Ruled Surfaces with $L_1$-Pointwise 1-Type Gauss Map김영호, Nurettin Cenk Turgay경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제1호

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