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Translation surfaces of Type 2 in the three dimensional simply isotropic space Ⅱ13

윤대원|Murat Kemal Karacan|Bahaddin Bukcu
대한수학회 (The Korean Mathematical Society)|2017.05|대한수학회보 (Bulletin of the KMS)|제54권 제3호|pp. 953-965

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참고문헌

키워드

Laplace operatorsimply isotropic spacetranslation surfaces
주제분류수학

초록

In this paper, we classify translation surfaces of Type 2 in the three dimensional simply isotropic space $\mathbb{I}_{3}^{1}$ satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the first, the second and the third fundamental form of the surface. We also give explicit forms of these surfaces.

Abstract

In this paper, we classify translation surfaces of Type 2 in the three dimensional simply isotropic space $\mathbb{I}_{3}^{1}$ satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the first, the second and the third fundamental form of the surface. We also give explicit forms of these surfaces.

참고문헌 (17)

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