Flat Rotational Surface with Pointwise 1-typeGauss map in E4
Differential Geometry
2013-02-13 v1
Abstract
In this paper we study general rotational surfaces in the 4- dimensional Euclidean space E4 and give a characterization of flat general rotation surface with pointwise 1-type Gauss map. Also, we show that a non-planar flat general rotation surface with pointwise 1-type Gauss map is a Lie group if and only if it is a Clifford torus.
Cite
@article{arxiv.1302.2804,
title = {Flat Rotational Surface with Pointwise 1-typeGauss map in E4},
author = {Ferdağ Kahraman Aksoyak and Yusuf Yaylı},
journal= {arXiv preprint arXiv:1302.2804},
year = {2013}
}