Geodesic
Remarks on Chebyshev coordinates
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 9, Tome 329 (2005), pp. 5-13 Cet article a éte moissonné depuis la source Math-Net.Ru

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Some results on the existence of global Chebyshev coordinates on complete Riemannian manifolds or, more generally, on Aleksandrov surfaces are proved. For instance, if both the positive part and the negative part of the integral curvature are less than $2\pi$, then there exist global Chebyshev coordinates on $M$. Such coordinates help one to get bi-Lipschitz maps between surfaces. 
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Yu. D. Burago; S. V. Ivanov; S. G. Malev. Remarks on Chebyshev coordinates. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 9, Tome 329 (2005), pp. 5-13. http://geodesic.mathdoc.fr/item/ZNSL_2005_329_a0/

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