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Translation surfaces in the 3-dimensional Galilean space satisfying ∆IIxi=λixi

윤대원|Ali Cakmak|Murat Kemal Karacan|Sezai Kiziltug
대한수학회 (The Korean Mathematical Society)|2017.07|대한수학회보 (Bulletin of the KMS)|제54권 제4호|pp. 1241-1254

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참고문헌

키워드

Laplace operatorGalilean spacetranslation surfaces
주제분류수학

초록

In this paper, we classify translation surfaces in the three dimensional Galilean space $\mathbb{G}_{3}$ satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the second fundamental form of the surface. We also give explicit forms of these surfaces.

Abstract

In this paper, we classify translation surfaces in the three dimensional Galilean space $\mathbb{G}_{3}$ satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the second fundamental form of the surface. We also give explicit forms of these surfaces.

참고문헌 (16)

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관련 논문AI추천

Translation surfaces of Type 2 in the three dimensional simply isotropic space Ⅱ13윤대원, Bahaddin Bukcu, Murat Kemal Karacan대한수학회 · 대한수학회보2017 · 제54권 제3호Surfaces of Revolution of Type 1 in Galilean 3-SpaceAli Cakmak, Hasan Es, Murat Kemal Karacan, Sezai Kiziltug경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제3호Surfaces of revolution with pointwise 1-type Gauss map in pseudo-Galilean space최미경, Dae Won Yoon대한수학회 · 대한수학회보2016 · 제53권 제2호MINIMAL TRANSLATION SURFACES WITH RESPECT TO SEMI-SYMMETRIC CONNECTIONS IN R3 AND R31Yong Wang대한수학회 · 대한수학회보2021 · 제58권 제4호Cheng-Yau operator and Gauss map of Translation Surfaces김동서, 김동수한국수학교육학회 · 이론수학과 교직수학2021 · 제28권 제1호Affine Translation Surfaces with Constant Gaussian CurvatureYu Fu, Zhong-Hua Hou경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제2호

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