Rigidity of \(H\)-type groups
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Publication:5947231
zbMath0982.22013MaRDI QIDQ5947231
Publication date: 2001
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
automorphism grouprigidityvector fields\(H\)-type groupcomplexified Heisenberg groupflows of contact diffeomorphismsgrading preserving Lie algebra automorphisms
Automorphism groups of locally compact groups (22D45) Nilpotent and solvable Lie groups (22E25) Rigidity results (53C24) Differential topological aspects of diffeomorphisms (57R50)
Related Items (19)
Geometric analysis on quaternion \(\mathbb H\)-type groups ⋮ Global contact and quasiconformal mappings of Carnot groups ⋮ On value distributions for quasimeromorphic mappings on \(\mathbb H\)-type Carnot groups ⋮ Rigidity of 2-step Carnot groups ⋮ Conformality and \(Q\)-harmonicity in Carnot groups ⋮ Liouville theorem, conformally invariant cones and umbilical surfaces for Grushin-type metrics ⋮ Rigid two-step nilpotent Lie groups relative to multicontact structures ⋮ Complete classification of pseudo \(H\)-type Lie algebras. I ⋮ Exceptional families of measures on Carnot groups ⋮ Rigidity of quasiconformal maps on Carnot groups ⋮ Algebraic prolongation and rigidity of Carnot groups ⋮ \(H\)-type groups and Clifford modules ⋮ A sufficient condition for nonrigidity of Carnot groups ⋮ The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds ⋮ On complex H-type Lie algebras ⋮ Anisotropic quaternion Carnot groups: Geometric analysis and Green function ⋮ Pseudo-metric 2-step nilpotent Lie algebras ⋮ Metric and geometric quasiconformality in Ahlfors regular Loewner spaces ⋮ Lie algebras attached to Clifford modules and simple graded Lie algebras
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