Willmore Minmax Surfaces and the Cost of the Sphere Eversion
Analysis of PDEs
2015-12-31 v1 Differential Geometry
Geometric Topology
Abstract
We develop a general Minmax procedure in Euclidian spaces for constructing Willmore surfaces of non zero indices. We implement this procedure to the Willmore Minmax Sphere Eversion in the 3 dimensional euclidian space. We compute the cost of the Sphere eversion in terms of Willmore energies of Willmore Spheres in
Cite
@article{arxiv.1512.08918,
title = {Willmore Minmax Surfaces and the Cost of the Sphere Eversion},
author = {Tristan Rivière},
journal= {arXiv preprint arXiv:1512.08918},
year = {2015}
}