CMC-surfaces, flat structures and umbilical points
微分几何
2009-01-23 v1
摘要
A short proof of the Caratheodory conjecture about index of an isolated umbilic on the convex 2-dimensional sphere is suggested. The argument is based on the study of geodesic lines near cone-type singularity of a metric induced by holomorphic quadratic differentials.
关键词
引用
@article{arxiv.math/0104081,
title = {CMC-surfaces, flat structures and umbilical points},
author = {Igor Nikolaev},
journal= {arXiv preprint arXiv:math/0104081},
year = {2009}
}