The Liouville theorem for conformal mappings on Carnot groups with Goursat-Darboux distribution

DOI10.1134/S0037446614050085zbMath1308.53054MaRDI QIDQ486367

D. V. Isangulova

Publication date: 15 January 2015

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

zbMATH Keywords

coercive estimateCarnot groupmapping with bounded distortion

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Differential geometry of symmetric spaces (53C35) Sub-Riemannian geometry (53C17)

Cites Work

• Liouville-type theorem on conformal mappings under minimal smoothness assumptions for the example of a step 3 Carnot group
• Conformality and \(Q\)-harmonicity in Carnot groups
• Mappings with bounded distortion and with finite distortion on Carnot groups
• Liouville's theorem on conformal mappings for minimal regularity assumptions
• Closure of classes of mappings with bounded distortion on Carnot groups
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)
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