Sur les remplissages holomorphes équivariants

Details Sur les remplissages holomorphes équivariants Sur les remplissages holomorphes équivariants

2006-10-25

arxiv.org/abs/math/0610748v1

Annales de l'Institut Fourier 57, 6 (2007) 2041-2061

Mathematics

Differential Geometry

19 pages

Scientific paper

A complex filling of a CR manifold is said to be equivariant with respect to a CR action if the action extends to a smooth action by biholomorphisms on the whole filling. Under a noncompactness condition for the action, we describe all equivariant fillings of strongly pseudoconvex CR manifolds of dimension 3. Since the standard sphere is the only compact strongly pseudoconvex CR manifold whose automorphism group is not compact, we only have to study its fillings.

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