Sharp geometric rigidity of isometries on Heisenberg groups

DOI10.1007/s00208-012-0820-2zbMath1279.53030arXiv1204.3441OpenAlexW2053721593MaRDI QIDQ2377367

D. V. Isangulova, Sergei Vodop'yanov

Publication date: 28 June 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.3441

zbMATH Keywords

Heisenberg groupsgeometric rigidity

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Rigidity results (53C24) Sub-Riemannian geometry (53C17)

Related Items (7)

Sharp geometric rigidity of isometries on Heisenberg groups ⋮ Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds ⋮ Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings ⋮ Analogs of Korn's inequality on Heisenberg groups ⋮ Mappings preserving unit distance on Heisenberg group ⋮ Sharp estimates for geometric rigidity of isometries on the first Heisenberg group ⋮ Analogues of Korn's inequality on Heisenberg groups

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