Continuous dynamical systems on Taut complex manifolds
Sergio Venturini (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Sergio Venturini (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Étienne Ghys (1995)
Inventiones mathematicae
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E. Chirka, S. Ivashkovich (2006)
Bulletin de la Société Mathématique de France
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We prove the impossibility of imbeddings of Hartogs figures into general complex manifolds which are close to an imbedding of an analytic disc attached to a totally real collar. Analogously we provide examples of the so called thin Hartogs figures in complex manifolds having no neighborhood biholomorphic to an open set in a Stein manifold.
G. Schumacher, A.T. Huckleberry (1979/80)
Manuscripta mathematica
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L. Bernal-González (2005)
Studia Mathematica
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We prove the following result which extends in a somewhat "linear" sense a theorem by Kierst and Szpilrajn and which holds on many "natural" spaces of holomorphic functions in the open unit disk 𝔻: There exist a dense linear manifold and a closed infinite-dimensional linear manifold of holomorphic functions in 𝔻 whose domain of holomorphy is 𝔻 except for the null function. The existence of a dense linear manifold of noncontinuable functions is also shown in any domain for its full...
Forstnerič, Franc, Lárusson, Finnur (2011)
The New York Journal of Mathematics [electronic only]
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Kamber, Franz W., Michor, Peter W. (2000)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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O. Muskarov (1986)
Mathematische Zeitschrift
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Alan T. Huckleberry, Ellen Ormsby (1978/79)
Manuscripta mathematica
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Franc Forstnerič (2004)
Annales de l’institut Fourier
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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.
Giuliana Gigante (1974)
Rendiconti del Seminario Matematico della Università di Padova
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