Moving surfaces by non-concave curvature functions
微分几何
2010-02-14 v2 偏微分方程分析
摘要
A convex surface contracting by a strictly monotone, homogeneous degree one function of curvature remains smooth until it contracts to a point in finite time, and is asymptotically spherical in shape. No assumptions are made on the concavity of the speed as a function of principal curvatures.
引用
@article{arxiv.math/0402273,
title = {Moving surfaces by non-concave curvature functions},
author = {Ben Andrews},
journal= {arXiv preprint arXiv:math/0402273},
year = {2010}
}
备注
Extensively revised. Corrected expression for pinching ratio bound in Theorem 3. Additional details on smooth convergence in Section 5