Schoenflies problem for area preserving biLipschitz mappings
Geometric Topology
2025-08-04 v1 Functional Analysis
Abstract
We prove that any biLipschitz mapping of the boundary of the unit disk onto the boundary of the domain of the same area can be extended to a biLipschitz mapping of the whole plane which preserves the area of any measurable subset.
Keywords
Cite
@article{arxiv.2508.00184,
title = {Schoenflies problem for area preserving biLipschitz mappings},
author = {Maxim Prasolov},
journal= {arXiv preprint arXiv:2508.00184},
year = {2025}
}