Quasiregular values from generalized manifold with controlled geometry
Complex Variables
2026-03-11 v1 Metric Geometry
Abstract
The main aim of this paper is to establish the Reshetnyak's theorem for quasiregualr values from generalized -manifold with suitable controlled geometry to Euclidean space This generalizes a previous result due to Kangasniemi and Onninen on the setting of Euclidean space [A single-point Reshetnyak's theorem, Trans. Amer. Math. Soc., 378(2025): 3105-3128].
Cite
@article{arxiv.2603.09920,
title = {Quasiregular values from generalized manifold with controlled geometry},
author = {Deguang Zhong},
journal= {arXiv preprint arXiv:2603.09920},
year = {2026}
}