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On the Ruled Surfaces with $L_1$-Pointwise 1-Type Gauss Map

김영호|Nurettin Cenk Turgay
경북대학교 자연과학대학 수학과|2017.03|Kyungpook Mathematical Journal|제57권 제1호|pp. 133-144

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참고문헌

키워드

ruled surfaceGauss mapCheng-Yau operatorpointwise 1-typenull scroll
주제분류수학

초록

In this paper, we study ruled surfaces in 3-dimensional Euclidean and Minkowski space in terms of their Gauss map. We obtain classification theorems for these type of surfaces whose Gauss map $G$ satisfying $\square G=f(G+C)$ for a constant vector $C\in\mathbb E^3$ and a smooth function $f,$ where $\square$ denotes the Cheng-Yau operator.

Abstract

In this paper, we study ruled surfaces in 3-dimensional Euclidean and Minkowski space in terms of their Gauss map. We obtain classification theorems for these type of surfaces whose Gauss map $G$ satisfying $\square G=f(G+C)$ for a constant vector $C\in\mathbb E^3$ and a smooth function $f,$ where $\square$ denotes the Cheng-Yau operator.

참고문헌 (21)

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관련 논문AI추천

ON POINTWISE 1-TYPE GAUSS MAP OF SURFACES IN E3 1 CONCERNING CHENG-YAU OPERATOR김영호, Nurettin Cenk Turgay대한수학회 · 대한수학회지2017 · 제54권 제2호Surfaces in E3 with L1-pointwise 1-type Gauss map김영호, Nurettin Cenk Turgay대한수학회 · 대한수학회보2013 · 제50권 제3호Gauss maps of ruled submanifolds and applications I김동수, 김영호, 윤대원, 정선미대한수학회 · 대한수학회지2016 · 제53권 제6호Classifications of helicoidal surfaces with L1-pointwise 1-type Gauss map김영호, Nurettin Cenk Turgay대한수학회 · 대한수학회보2013 · 제50권 제4호Characterization of conical ruled submanifolds associated with the Gauss map김영호, 정선미대한수학회 · 대한수학회지2025 · 제62권 제3호RULED SURFACES AND GAUSS MAP김동수대한수학회 · 대한수학회보2015 · 제52권 제5호

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