Affine translation surfaces in the isotropic 3-space
Differential Geometry
2017-04-07 v2
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.
Keywords
Cite
@article{arxiv.1611.02595,
title = {Affine translation surfaces in the isotropic 3-space},
author = {Muhittin Evren Aydin and Mahmut Ergut},
journal= {arXiv preprint arXiv:1611.02595},
year = {2017}
}
Comments
11 pages, 3 figures. All comments are welcome