TY - JOUR
T1 - Remarks on Chebyshev coordinates
AU - Burago, Yu D.
AU - Ivanov, S. V.
AU - Malev, S. G.
N1 - Funding Information:
The first two authors were partially supported by grants RFBR 05-01-00939 and NS-1914.2003.1.
PY - 2007/1
Y1 - 2007/1
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 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:33845792099
SN - 1072-3374
VL - 140
SP - 497
EP - 501
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
IS - 4
ER -