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

页码：13238 / 13244

页数：7

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