Meridian Surfaces in E^4 with Pointwise 1-type Gauss Map
Differential Geometry
2014-10-30 v1
Abstract
In the present article we study a special class of surfaces in the four-dimensional Euclidean space, which are one-parameter systems of meridians of the standard rotational hypersurface. They are called meridian surfaces. We show that a meridian surface has a harmonic Gauss map if and only if it is part of a plane. Further, we give necessary and sufficient conditions for a meridian surface to have pointwise 1-type Gauss map and find all meridian surfaces with pointwise 1-type Gauss map.
Keywords
Cite
@article{arxiv.1410.7907,
title = {Meridian Surfaces in E^4 with Pointwise 1-type Gauss Map},
author = {Kadri Arslan and Betul Bulca and Velichka Milousheva},
journal= {arXiv preprint arXiv:1410.7907},
year = {2014}
}
Comments
11 pages