Remarks on Chebyshev coordinates

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dc.creatorBurago, Yu.
dc.creatorIvanov, S.
dc.creatorMalev, S.
dc.date2005-06-28
dc.date2005-12-11
dc.date.accessioned2026-07-07T06:42:32Z
dc.date.available2026-07-07T06:42:32Z
dc.descriptionSome 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.}
dc.descriptionThis is a corrected version of our previous submisson
dc.identifierhttps://arxiv.org/abs/math/0506580
dc.identifierhttp://arxiv.org/abs/math/0506580
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102078
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject53C
dc.titleRemarks on Chebyshev coordinates
dc.typetext

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