Openness and discreteness of mappings of finite distortion on Carnot groups

DOI10.1134/s0037446623060046zbMath1529.30060OpenAlexW4389379490MaRDI QIDQ6179763

Sergei Vodop'yanov, Unnamed Author

Publication date: 18 December 2023

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446623060046

zbMATH Keywords

mappings of finite distortiondomain in an \(H\)-type Carnot group

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Quasiconformal mappings in metric spaces (30L10)

Related Items (1)

Topological properties of mappings with finite distortion on Carnot groups

Cites Work

• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Quasiregular maps on Carnot groups
• Hypoelliptic differential operators and nilpotent groups
• Quasiconformal mappings and spaces of functions with generalized first derivatives
• Bounds on moduli of continuity for certain mappings
• Space mappings with bounded distortion
• Mappings of finite distortion: a new proof for discreteness and openness
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• An extension of Reshetnyak's Theorem
• On Mappings with Integrable Dilatation
• Differentiability of maps of Carnot groups of Sobolev classes
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Continuity of the mappings with finite distortion of the Sobolev class \(W^1_{\nu,\operatorname{loc}}\) on Carnot groups
• Усреднения компактных отображений группы Энгеля
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