Bi-Lipschitz parameterization of surfaces

被引：27

作者：

Bonk, M ^{[1
]}

Lang, U

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] ETH Zentrum, Dept Math, CH-8092 Zurich, Switzerland

来源：

MATHEMATISCHE ANNALEN | 2003年 / 327卷 / 01期

关键词：

D O I：

10.1007/s00208-003-0443-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider surfaces Z homeomorphic to the plane with complete, possibly singular Riemannian metrics. If we have integral(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 epsilon > 0 and C > 0. This result implies a conjecture by J. Fu.

引用

页码：135 / 169

页数：35

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