A New Characterization of the Mappings of Bounded Length Distortion

作者:Hajlasz Piotr*; Malekzadeh Soheil
来源:International Mathematics Research Notices, 2015, 2015(24): 13238-13244.
DOI:10.1093/imrn/rnv108

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.

  • 出版日期2015