关于切比雪夫坐标的注记
Remarks on Chebyshev coordinates
摘要：
证明了黎曼流形上或更一般的Aleksandrov曲面上整体Chebyshev坐标的存在性。例如，如果黎曼流形M的积分曲率的正负部分均小于2π，则M上存在整体Chebyshev坐标.这些条件是最佳的。这样的坐标有助于获得曲面之间的双Lipschitz映射。
英文摘要：
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 2πeach, then there exist global Chebyshev coordinates on M. These conditions are optimal. Such coordinates help to get bi-Lipschitz maps between surfaces.}
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
