The Willmore Conjecture for immersed tori with small curvature integral
Differential Geometry
2007-05-23 v2
Abstract
The Willmore conjecture states that any immersion F:T^2 -> R^n of a 2-torus into flat euclidean space satisfies . We prove it under the condition that the L^p-norm of the Gaussian curvature is sufficiently small.
Cite
@article{arxiv.math/9906065,
title = {The Willmore Conjecture for immersed tori with small curvature integral},
author = {Bernd Ammann},
journal= {arXiv preprint arXiv:math/9906065},
year = {2007}
}
Comments
26 pages, Latex2e, 3 figures using pstricks, some minor changes, numbers of theorems and propositions changed