Abstract
Some results on the existence of global Chebyshev coordinates on a Riemannian two-manifold or, more generally, on an Aleksandrov surface M are proved. For instance, if the positive and the negative part of the integral curvature of M are less than 2π, then there exist global Chebyshev coordinates on M. Such coordinates help one to construct bi-Lipschitz maps between surfaces. Bibliography: 9 titles.
Original language | English (US) |
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Pages (from-to) | 497-501 |
Number of pages | 5 |
Journal | Journal of Mathematical Sciences |
Volume | 140 |
Issue number | 4 |
DOIs | |
State | Published - Jan 2007 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- General Mathematics
- Applied Mathematics