On regular algebraic surfaces of $R^3$ with constant mean curvature
Differential Geometry
2014-03-28 v1
Abstract
We consider regular surfaces that are given as the zeros of a polynomial function , where the gradient of vanishes nowhere. We assume that has non-zero mean curvature and prove that there exist only two examples of such surfaces, namely the sphere and the circular cylinder.
Keywords
Cite
@article{arxiv.1403.7029,
title = {On regular algebraic surfaces of $R^3$ with constant mean curvature},
author = {João Lucas Marques Barbosa and Manfredo Perdigão do Carmo},
journal= {arXiv preprint arXiv:1403.7029},
year = {2014}
}