Remarks on Martio's conjecture
Complex Variables
2021-06-03 v2
Abstract
We introduce a certain integrability condition for the reciprocal of the Jacobian determinant which guarantees the local homeomorphism property of quasiregular mappings with a small inner dilatation. This condition turns out to be sharp in the planar case. We also show that every branch point of a quasiregular mapping with a small inner dilatation is a Lebesgue point of the differential matrix of the mapping.
Keywords
Cite
@article{arxiv.2006.15101,
title = {Remarks on Martio's conjecture},
author = {Ville Tengvall},
journal= {arXiv preprint arXiv:2006.15101},
year = {2021}
}
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15 pages, 0 figures