Holomorphic maps of uniform type
Le Hai, Thai Quang (1996)
Colloquium Mathematicae
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Le Hai, Thai Quang (1996)
Colloquium Mathematicae
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Evgeni Chirka, Edgar Stout (1995)
Banach Center Publications
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Kriegl, Andreas, Losik, Mark, Michor, Peter W. (2003)
Journal of Lie Theory
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Wilhelm Klingenberg (1997)
Banach Center Publications
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Mckay, Benjamin (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Do Duc Thai, Nguyen Le Huong (1993)
Annales Polonici Mathematici
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We show a relation between the Kobayashi pseudodistance of a holomorphic fiber bundle and the Kobayashi pseudodistance of its base. Moreover, we prove that a holomorphic fiber bundle is taut iff both the fiber and the base are taut.
Barbara Drinovec Drnovšek (2007)
Annales de l’institut Fourier
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Let be a complex manifold of dimension at least which has an exhaustion function whose Levi form has at each point at least strictly positive eigenvalues. We construct proper holomorphic discs in through any given point and in any given direction.
Denkowski, Maciej P. (2007)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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van Brunt, Bruce, Marshall, Jonathan C. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Do Duc Thai (1992)
Annales Polonici Mathematici
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We give a simple proof of the result that if D is a (not necessarily bounded) hyperbolic convex domain in then the set V of fixed points of a holomorphic map f:D → D is a connected complex submanifold of D; if V is not empty, V is a holomorphic retract of D. Moreover, we extend these results to the case of convex domains in a locally convex Hausdorff vector space.
Gabriela Kohr, Mirela Kohr-Ile (1996)
Banach Center Publications
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The authors obtain a generalization of Jack-Miller-Mocanu’s lemma and, using the technique of subordinations, deduce some properties of holomorphic mappings from the unit polydisc in into .