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Classifications of rotation surfaces in pseudo-Euclidean space

윤대원|김영호
대한수학회 (The Korean Mathematical Society)|2004.03|대한수학회지 (Journal of the KMS)|제41권 제2호|pp. 379-396

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참고문헌

키워드

Gauss mapfinite typerotation surfacesPseudo-Euclidean space.
주제분류수학

초록

In this article, we study rotation surfaces in the 4- dimensional pseudo-Euclidean space E42 . Also, we obtain the complete classification theorems for the flat rotation surfaces with finite type Gauss map, pointwise 1-type Gauss map and an equation in terms of the mean curvature vector. In fact, we characterize the flat rotation surfaces of finite type immersion with the Gauss map and the mean curvature vector field, namely the Gauss map of finite type, pointwise 1-type Gauss map and some algebraic equations in terms of the Gauss map and the mean curvature vector field related to the Laplacian of the surfaces with respect to the induced metric.

Abstract

In this article, we study rotation surfaces in the 4-dimensional pseudo-Euclidean space E42. Also, we obtain the completeclassification theorems for the flat rotation surfaces with finitetype Gauss map, pointwise 1-type Gauss map and an equation interms of the mean curvature vector. In fact, we characterize the flatrotation surfaces of finite type immersion with the Gauss map andthe mean curvature vector field, namely the Gauss map of finitetype, pointwise 1-type Gauss map and some algebraic equations interms of the Gauss map and the mean curvature vector field relatedto the Laplacian of the surfaces with respect to the induced metric

참고문헌 (20)

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관련 논문AI추천

On spacelike rotational surfaces with pointwise 1-type Gauss mapUgur Dursun대한수학회 · 대한수학회보2015 · 제52권 제1호Surfaces of revolution with pointwise 1-type Gauss map in pseudo-Galilean space최미경, Dae Won Yoon대한수학회 · 대한수학회보2016 · 제53권 제2호Surfaces of Revolution of Type 1 in Galilean 3-SpaceAli Cakmak, Hasan Es, Murat Kemal Karacan, Sezai Kiziltug경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제3호BOOST INVARIANT SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN MINKOWSKI 4-SPACE E4 1Ferdag Kahraman Aksoyak, Yusuf Yayli대한수학회 · 대한수학회보2014 · 제51권 제6호ON POINTWISE 1-TYPE GAUSS MAP OF SURFACES IN E3 1 CONCERNING CHENG-YAU OPERATOR김영호, Nurettin Cenk Turgay대한수학회 · 대한수학회지2017 · 제54권 제2호Classifications of helicoidal surfaces with L1-pointwise 1-type Gauss map김영호, Nurettin Cenk Turgay대한수학회 · 대한수학회보2013 · 제50권 제4호

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