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math.CV2005
Sphericite et contractibilite des hypersurfaces strictement pseudoconvexes
Emmanuel Opshtein
We propose a proof of the characterization of spherical hypersurfaces as the only strictly pseudoconvex hypersurfaces which have contracting germs of diffeomorphisms. Unlike previo…
math.CV2005
Dynamique des applications holomorphes propres de domaines reguliers et probleme de l'injectivite
Emmanuel Opshtein
This paper deals with proper holomorphic self-maps of smoothly bounded pseudoconvex domains in $\C^2$. We study the dynamical properties of their extension to the boundary and show…