A sufficient condition for nonrigidity of Carnot groups

DOI10.1007/s00209-007-0240-2zbMath1143.22006OpenAlexW1974813895MaRDI QIDQ926247

Alessandro Ottazzi

Publication date: 27 May 2008

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

Full work available at URL: https://boris.unibe.ch/117790/1/209_2007_Article_240.pdf

zbMATH Keywords

rigidityCarnot groupscontact mappings

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Nilpotent and solvable Lie groups (22E25) Contact manifolds (general theory) (53D10)

Related Items (11)

Rigidity results in diffusion Markov triples ⋮ Rigidity of 2-step Carnot groups ⋮ \(\mathfrak{L}\)-prolongations of graded Lie algebras ⋮ Rigidity of quasiconformal maps on Carnot groups ⋮ Algebraic prolongation and rigidity of Carnot groups ⋮ Mappings with bounded \((P,Q)\)-distortion on Carnot groups ⋮ Universal differentiability sets in Carnot groups of arbitrarily high step ⋮ The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds ⋮ Rigidity of Carnot groups relative to multicontact structures ⋮ Rigidity of fiber-preserving quasisymmetric maps ⋮ Quasi-conformal maps on model filiform groups

Cites Work

• Counter example to the Besicovitch covering property for some Carnot groups equipped with their Carnot-Carathéodory metric
• Toda flows and real Hessenberg manifolds
• Contact and conformal maps in parabolic geometry
• Rigidity of \(H\)-type groups
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