Rigidity of Carnot groups relative to multicontact structures

DOI10.1090/S0002-9939-10-10212-3zbMath1191.22002OpenAlexW2045310946MaRDI QIDQ3559019

Alessandro Ottazzi, Filippo de Mari

Publication date: 11 May 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-10-10212-3

zbMATH Keywords

rigidityprolongationCarnot groupcontact map

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Nilpotent and solvable Lie groups (22E25) Rigidity results (53C24)

Related Items (3)

Normal forms of para-CR hypersurfaces ⋮ Singular multicontact structures ⋮ The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds

Cites Work

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• Conformality and \(Q\)-harmonicity in Carnot groups
• A sufficient condition for nonrigidity of Carnot groups
• Quasiconformal mappings on the Heisenberg group
• On affine symmetric spaces and the automorphism groups of product manifolds
• On pseudo-product graded Lie algebras
• Contact and conformal maps in parabolic geometry
• Hypoelliptic second order differential equations
• On differential systems, graded Lie algebras and pseudo-groups
• Contact and conformal maps on Iwasawa \(N\) groups
• Rigid two-step nilpotent Lie groups relative to multicontact structures
• THE HEISENBERG GROUP, SL(3, ℝ), AND RIGIDITY

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