Equivariant holomorphic extensions of real analytic manifolds
Peter Heinzner (1993)
Bulletin de la Société Mathématique de France
Similarity:
Peter Heinzner (1993)
Bulletin de la Société Mathématique de France
Similarity:
Franc Forstnerič (2004)
Annales de l’institut Fourier
Similarity:
We establish the homotopy classification of holomorphic submersions from Stein manifolds to Complex manifolds satisfying an analytic property introduced in the paper. The result is a holomorphic analogue of the Gromov--Phillips theorem on smooth submersions.
Masahide Kato, Noboru Okada (2004)
Annales de l’institut Fourier
Similarity:
We study the extension problem of holomorphic maps of a Hartogs domain with values in a complex manifold . For compact Kähler manifolds as well as various non-Kähler manifolds, the maximal domain of extension for over is contained in a subdomain of . For such manifolds, we define, in this paper, an invariant Hex using the Hausdorff dimensions of the singular sets of ’s and study its properties to deduce informations on the complex structure of .
Joël Merker (2002)
Annales de l’institut Fourier
Similarity:
In the present paper, we associate the techniques of the Lewy-Pinchuk reflection principle with the Behnke-Sommer continuity principle. Extending a so-called to a parameterized congruence of Segre varieties, we are led to studying the envelope of holomorphy of a certain domain covered by a smooth Levi-flat “hat”. In our main theorem, we show that every -smooth CR diffeomorphism between two globally minimal real analytic hypersurfaces in () is real analytic at every point of ...
Zbigniew Slodkowski (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity: