Displaying similar documents to “On the automorphism group of strongly pseudoconvex domains in almost complex manifolds”

On ∂̅-problems on (pseudo)-convex domains

R. Range (1995)

Banach Center Publications

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In this survey we shall tour the area of multidimensional complex analysis which centers around ∂̅-problems (i.e., the Cauchy-Riemann equations) on pseudoconvex domains. Along the way we shall highlight some of the classical milestones as well as more recent landmarks, and we shall discuss some of the major open problems and conjectures. For the sake of simplicity we will only consider domains in ℂ n ; intriguing phenomena occur already in the simple setting of (Euclidean) convex domains....

The Serre problem with Reinhardt fibers

Peter Pflug, Wlodzimierz Zwonek (2004)

Annales de l’institut Fourier

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The Serre problem is solved for fiber bundles whose fibers are two-dimensional pseudoconvex hyperbolic Reinhardt domains.

On the embedding and compactification of q -complete manifolds

Ionuţ Chiose (2006)

Annales de l’institut Fourier

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We characterize intrinsically two classes of manifolds that can be properly embedded into spaces of the form ℙ N ∖ ℙ N - q . The first theorem is a compactification theorem for pseudoconcave manifolds that can be realized as X ¯ ∖ ( X ¯ ∩ ℙ N - q ) where X ¯ ⊂ ℙ N is a projective variety. The second theorem is an embedding theorem for holomorphically convex manifolds into ℙ 1 × ℂ N .

Equivalent characterizations of Bloch functions

Zhangjian Hu (1994)

Colloquium Mathematicae

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In this paper we obtain some equivalent characterizations of Bloch functions on general bounded strongly pseudoconvex domains with smooth boundary, which extends the known results in [1, 9, 10].