Minimizers of the Willmore functional with a small area constraint
Differential Geometry
2015-06-03 v2 Analysis of PDEs
Abstract
We show the existence of a smooth spherical surface minimizing the Willmore functional subject to an area constraint in a compact Riemannian three-manifold, provided the area is small enough. Moreover, we classify complete surfaces of Willmore type with positive mean curvature in Riemannian three-manifolds.
Keywords
Cite
@article{arxiv.1201.1887,
title = {Minimizers of the Willmore functional with a small area constraint},
author = {Tobias Lamm and Jan Metzger},
journal= {arXiv preprint arXiv:1201.1887},
year = {2015}
}
Comments
Minor corrections