Lie group structures on groups of diffeomorphisms and applications to CR manifolds.

DOI10.5802/aif.2050zbMath1062.22046OpenAlexW4300130183WikidataQ115159044 ScholiaQ115159044MaRDI QIDQ1774063

Dimitri Zaitsev, Linda Preiss Rothschild, Jörg Winkelmann, Mohamed Salah Baouendi

Publication date: 29 April 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2004__54_5_1279_0

zbMATH Keywords

Lie groupCR manifoldscomplete systemCR automorphismjet parametrization

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Real submanifolds in complex manifolds (32V40) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) General properties and structure of real Lie groups (22E15) Groups as automorphisms of other structures (22F50)

Related Items (14)

Finite dimensional groups of local diffeomorphisms ⋮ Milnor attractors of skew products with the fiber a circle ⋮ Deformation of generic submanifolds in a complex manifold ⋮ Projection on Segre varieties and determination of holomorphic mappings between real submanifolds ⋮ Reduction of five-dimensional uniformly Levi degenerate CR structures to absolute parallelisms ⋮ Maximal tori in contactomorphism groups ⋮ BOUNDNESS OF INTERSECTION NUMBERS FOR ACTIONS BY TWO-DIMENSIONAL BIHOLOMORPHISMS ⋮ Finiteness properties of formal Lie group actions ⋮ Representation of the group of holomorphic symmetries of a real germ in the symmetry group of its model surface ⋮ Regularization of local CR-automorphisms of real-analytic CR-manifolds ⋮ Representation of the group of holomorphic symmetries of a real germ in the symmetry group of the model surface of the germ ⋮ Symmetries of holomorphic geometric structures on tori ⋮ Analytic Jet Parametrization for CR Automorphisms of Some Essentially Finite CR Manifolds ⋮ On Beloshapka's rigidity conjecture for real submanifolds in complex space

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