Research output: Contribution to journal › Article › peer-review
Remarks on Chebyshev coordinates. / Burago, Yu D.; Ivanov, S. V.; Malev, S. G.
In: Journal of Mathematical Sciences , Vol. 140, No. 4, 01.01.2007, p. 497-501.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Remarks on Chebyshev coordinates
AU - Burago, Yu D.
AU - Ivanov, S. V.
AU - Malev, S. G.
PY - 2007/1/1
Y1 - 2007/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33845792099&partnerID=8YFLogxK
U2 - 10.1007/s10958-007-0429-2
DO - 10.1007/s10958-007-0429-2
M3 - Article
AN - SCOPUS:33845792099
VL - 140
SP - 497
EP - 501
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 4
ER -
ID: 49985228