Tensor fields and connections on holomorphic orbit spaces of finite groups.
Kriegl, Andreas, Losik, Mark, Michor, Peter W. (2003)
Journal of Lie Theory
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Displaying similar documents to “Extension phenomena for holomorphic geometric structures.”
Tensor fields and connections on holomorphic orbit spaces of finite groups.
A note on the Kobayashi pseudodistance and the tautness of holomorphic fiber bundles
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.
A Kontinuitätssatz
Evgeni Chirka, Edgar Stout (1995)
Banach Center Publications
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Some remarks on holomorphic extension in infinite dimensions
Pham Ban (1994)
Colloquium Mathematicae
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In finite-dimensional complex analysis, the extension of holomorphic maps has been investigated by many authors. In recent years some authors have considered this problem in the infinite-dimensional case. The aim of the present note is to study the extension of holomorphic maps with values in some Banach complex manifolds.
On proper discs in complex manifolds
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.
Stability of the Bishop familyοf holomorphic discs
Wilhelm Klingenberg (1997)
Banach Center Publications
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On the order of holomorphic and -holomorphic functions.
Denkowski, Maciej P. (2007)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Holomorphic functions with singularities on algebraic sets.
Sičiak, Józef (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Lifting mappings over invariants of finite groups.
Kriegl, A., Losik, M., Michor, P.W., Rainer, A. (2008)
Acta Mathematica Universitatis Comenianae. New Series
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Subordination theory for holomorphic mappings of several complex variables
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 .
The fixed points of holomorphic maps on a convex domain
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.
Holomorphic non-holonomic differential systems on complex manifolds
S. Dimiev (1991)
Annales Polonici Mathematici
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We study coherent subsheaves 𝓓 of the holomorphic tangent sheaf of a complex manifold. A description of the corresponding 𝓓-stable ideals and their closed complex subspaces is sketched. Our study of non-holonomicity is based on the Noetherian property of coherent analytic sheaves. This is inspired by the paper [3] which is related with some problems of mechanics.