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The chains of left-invariant Cauchy-Riemann structures on \(SU(2)\)

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Publication:953147
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DOI10.2140/PJM.2008.238.41zbMath1152.32016arXiv0711.2555OpenAlexW2013974027MaRDI QIDQ953147

Richard Montgomery, Alex Lúcio Castro

Publication date: 14 November 2008

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.2555


zbMATH Keywords

CR structureintegrable dynamical systemseveral complex variablesCartan-Fefferman chain


Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) CR structures, CR operators, and generalizations (32V05) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)


Related Items (4)

Left-invariant CR structures on 3-dimensional Lie groups ⋮ Conformal equivalence of 3D contact structures on Lie groups ⋮ A Lie-theoretic Construction of Cartan-Moser Chains ⋮ On convergent Poincaré-Moser reduction for Levi degenerate embedded 5-dimensional CR manifolds







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