Quasiregular values from generalized manifold with controlled geometry

Deguang Zhong

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arXiv · 2603.09920

Quasiregular values from generalized manifold with controlled geometry

Deguang Zhong

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Abstract

The main aim of this paper is to establish the Reshetnyak's theorem for quasiregualr values from generalized $n$-manifold with suitable controlled geometry to Euclidean space $\mathbb{R}^{n}.$ 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].

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Deguang Zhong. 2026-03-10. Quasiregular values from generalized manifold with controlled geometry. https://arxiv.org/abs/2603.09920

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