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arXiv · 1611.02595

Affine translation surfaces in the isotropic 3-space

Muhittin Evren Aydin·Mahmut Ergut
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Abstract

The isotropic 3-space \mathbb{I}^{3} is a real affine 3-space endowed with the metric dx^{2}+dy^{2}. In this paper we describe Weingarten and linear Weingarten affine translation surfaces in \mathbb{I}^{3}. Further we classify the affine translation surfaces in \mathbb{I}^{3} that satisfy certain equations in terms of the position vector and the Laplace operator.

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Muhittin Evren Aydin, Mahmut Ergut. 2016-11-07. Affine translation surfaces in the isotropic 3-space. https://arxiv.org/abs/1611.02595

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