A New Characterization of the Mappings of Bounded Length Distortion

被引：2
作者：
Hajlasz, Piotr [1 ]
Malekzadeh, Soheil [1 ]
机构：
[1] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2015年 / 2015卷 / 24期
基金：
美国国家科学基金会;
关键词：
MAPS;
D O I：
10.1093/imrn/rnv108
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present a new characterization of the mappings of bounded length distortion (BLD for short). In the original geometric definition, it is assumed that a BLD mapping is open, discrete, and sense-preserving. We prove that the first two of the three conditions are redundant and the sense-preserving condition can be replaced by a weaker assumption that the Jacobian is nonnegative.
引用
收藏
页码：13238 / 13244
页数：7
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