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Bi-Lipschitz parameterization of surfaces

dc.contributor.authorBonk, Marioen_US
dc.contributor.authorLang, Ursen_US
dc.date.accessioned2006-09-11T17:33:16Z
dc.date.available2006-09-11T17:33:16Z
dc.date.issued2003-09en_US
dc.identifier.citationBonk, Mario; Lang, Urs; (2003). "Bi-Lipschitz parameterization of surfaces." Mathematische Annalen 327(1): 135-169. <http://hdl.handle.net/2027.42/46250>en_US
dc.identifier.issn0025-5831en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/46250
dc.description.abstractWe consider surfaces Z homeomorphic to the plane with complete, possibly singular Riemannian metrics. If we have ∫ Z K + <2π−ε for the positive and ∫ Z K − < C for the negative part of the integral curvature, then Z is L -bi-Lipschitz equivalent to ℝ 2 with L depending only on ε>0 and C >0. This result implies a conjecture by J. Fu.en_US
dc.format.extent341103 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlag; Springer-Verlag Berlin Heidelbergen_US
dc.subject.otherMathematicsen_US
dc.titleBi-Lipschitz parameterization of surfacesen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, , University of Michigan, , Ann Arbor, MI 48109-1109, USAen_US
dc.contributor.affiliationotherDepartement Mathematik, , ETH Zentrum, , CH-8092, Zürich, Switzerlanden_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/46250/1/208_2003_Article_443.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/s00208-003-0443-8en_US
dc.identifier.sourceMathematische Annalenen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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