A rigidity theorem for ideal surfaces with flat boundary
Differential Geometry
2018-12-13 v1
Abstract
We consider surfaces with boundary satisfying a sixth order nonlinear elliptic partial differential equation corresponding to extremising the -norm of the gradient of the mean curvature. We show that such surfaces with small -norm of the second fundamental form and satisfying so-called `flat boundary conditions' are necessarily planar.
Cite
@article{arxiv.1812.04761,
title = {A rigidity theorem for ideal surfaces with flat boundary},
author = {James McCoy and Glen Wheeler},
journal= {arXiv preprint arXiv:1812.04761},
year = {2018}
}
Comments
12 pages