On certain surfaces in the Euclidean space ${\mathbb{E}}^3$
Differential Geometry
2011-06-22 v1
Abstract
In the present paper we classify all surfaces in with a canonical principal direction. Examples of these type of surfaces are constructed. We prove that the only minimal surface with a canonical principal direction in the Euclidean space is the catenoid.
Cite
@article{arxiv.1004.4255,
title = {On certain surfaces in the Euclidean space ${\mathbb{E}}^3$},
author = {Marian Ioan Munteanu and Ana Irina Nistor},
journal= {arXiv preprint arXiv:1004.4255},
year = {2011}
}
Comments
13 Latex pages