Remarks on Chebyshev coordinates
微分几何
2007-05-23 v4 度量几何
摘要
Some results on existence of global Chebyshev coordinates on a Riemannian manifold or, more generally, on Aleksandrov surface are proved. For instance, if the positive and the negative parts of integral curvature of a Riemannian manifold M are less than 2\pi each, then there exist global Chebyshev coordinates on M. These conditions are optimal. Such coordinates help to get bi-Lipschitz maps between surfaces.}
引用
@article{arxiv.math/0506580,
title = {Remarks on Chebyshev coordinates},
author = {Yu. Burago and S. Ivanov and S. Malev},
journal= {arXiv preprint arXiv:math/0506580},
year = {2007}
}
备注
This is a corrected version of our previous submisson