Tensor fields and connections on holomorphic orbit spaces of finite groups.

Kriegl, Andreas; Losik, Mark; Michor, Peter W.

Displaying similar documents to “Tensor fields and connections on holomorphic orbit spaces of finite groups.”

Holomorphic functions with singularities on algebraic sets.

Sičiak, Józef (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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On the order of holomorphic and $c$ -holomorphic functions.

Denkowski, Maciej P. (2007)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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On proper discs in complex manifolds

Barbara Drinovec Drnovšek (2007)

Annales de l’institut Fourier

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Let $X$ be a complex manifold of dimension at least $2$ which has an exhaustion function whose Levi form has at each point at least $2$ strictly positive eigenvalues. We construct proper holomorphic discs in $X$ through any given point and in any given direction.

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.

Extension phenomena for holomorphic geometric structures.

Mckay, Benjamin (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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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 $ℂ^{n}$ into $ℂ^{n}$ .

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 $ℂ^{n}$ 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.