EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1 Next

Displaying 1 – 20 of 43

Oka manifolds: From Oka to Stein and back

Franc Forstnerič (2013)

Annales de la faculté des sciences de Toulouse Mathématiques

Oka theory has its roots in the classical Oka-Grauert principle whose main result is Grauert’s classification of principal holomorphic fiber bundles over Stein spaces. Modern Oka theory concerns holomorphic maps from Stein manifolds and Stein spaces to Oka manifolds. It has emerged as a subfield of complex geometry in its own right since the appearance of a seminal paper of M. Gromov in 1989.In this expository paper we discuss Oka manifolds and Oka maps. We describe equivalent characterizations...

On a character of the automorphism group of a compact com-plex manifold.

A. Futaki (1987)

Inventiones mathematicae

On Brody and entire curves

Jörg Winkelmann (2007)

Bulletin de la Société Mathématique de France

We discuss an example of an open subset of a torus which admits a dense entire curve, but no dense Brody curve.

On c-actions on compact complex manifolds with many compact orbits.

Jörg Winkelmahn (1994)

Manuscripta mathematica

On complete intersections

Franc Forstnerič (2001)

Annales de l’institut Fourier

We construct closed complex submanifolds of $ℂ^{n}$ which are differential but not holomorphic complete intersections. We also prove a homotopy principle concerning the removal of intersections with certain complex subvarieties of $ℂ^{n}$ .

On Complexifications of Differentiable Manifolds.

R.S. Kulkarni (1978)

Inventiones mathematicae

On D*-extension property of the Hartogs domains.

Do Duc Thai, Pascal J. Thomas (2001)

Publicacions Matemàtiques

A complex analytic space is said to have the D*-extension property if and only if any holomorphic map from the punctured disk to the given space extends to a holomorphic map from the whole disk to the same space. A Hartogs domain H over the base X (a complex space) is a subset of X x C where all the fibers over X are disks centered at the origin, possibly of infinite radius. Denote by φ the function giving the logarithm of the reciprocal of the radius of the fibers, so that, when X is pseudoconvex,...

On holomorphically projective mappings from manifolds with equiaffine connection onto Kähler manifolds

Irena Hinterleitner, Josef Mikeš (2013)

Archivum Mathematicum

In this paper we study fundamental equations of holomorphically projective mappings from manifolds with equiaffine connection onto (pseudo-) Kähler manifolds with respect to the smoothness class of connection and metrics. We show that holomorphically projective mappings preserve the smoothness class of connections and metrics.

On hyper f-structures.

Gerardo Hernandez (1996)

Mathematische Annalen

On isometries of the carathéodory and Kobayashi metrics on strongly pseudoconvex domains

Harish Seshadri (2006)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Let $Ω_{1}$ and $Ω_{2}$ be $strongly pseudoconvex$ domains in $ℂ^{n}$ and $f : Ω_{1} \to Ω_{2}$ an isometry for the Kobayashi or Carathéodory metrics. Suppose that $f$ extends as a $C^{1}$ map to ${\bar{Ω}}_{1}$ . We then prove that ${f |}_{\partial Ω_{1}} : \partial Ω_{1} \to \partial Ω_{2}$ is a CR or anti-CR diffeomorphism. It follows that $Ω_{1}$ and $Ω_{2}$ must be biholomorphic or anti-biholomorphic.

On isometries of the Kobayashi and Carathéodory metrics

Prachi Mahajan (2012)

Annales Polonici Mathematici

This article considers C¹-smooth isometries of the Kobayashi and Carathéodory metrics on domains in ℂⁿ and the extent to which they behave like holomorphic mappings. First we provide an example which suggests that 𝔹ⁿ cannot be mapped isometrically onto a product domain. In addition, we prove several results on continuous extension of C⁰-isometries f : D₁ → D₂ to the closures under purely local assumptions on the boundaries. As an application, we show that there is no C⁰-isometry between a strongly...

On n class of capacities on complex manifolds endowed with an hermitian structure and their relation to elliptic and hyperbolic quasiconformal mappings [Book]

Julian Ławrynowicz (1980)

On Non-Compact Complex Nil-Manifolds.

Alan Huckleberry, B. Gilligan (1978)

Mathematische Annalen

On proper R-actions on hyperbolic Stein surfaces.

Miebach, Christian, Oeljeklaus, Karl (2009)

Documenta Mathematica

On real submanifolds of $ℂ^{2}$ and $ℂ^{3}$ (Preliminary communication)

Alois Švec (1972)

Commentationes Mathematicae Universitatis Carolinae

On regular Stein neighborhoods of a union of two totally real planes in ℂ²

Tadej Starčič (2016)

Annales Polonici Mathematici

We find regular Stein neighborhoods of a union of totally real planes M = (A+iI)ℝ² and N = ℝ² in ℂ², provided that the entries of a real 2 × 2 matrix A are sufficiently small. A key step in our proof is a local construction of a suitable function ρ near the origin. The sublevel sets of ρ are strongly Levi pseudoconvex and admit strong deformation retraction to M ∪ N.

On representation theory and the cohomology rings of irreducible compact hyperkähler manifolds of complex dimension four

Daniel Guan (2003)

Open Mathematics

In this paper, we continue the study of the possible cohomology rings of compact complex four dimensional irreducible hyperkähler manifolds. In particular, we prove that in the case b 2=7, b 3=0 or 8. The latter was achieved by the Beauville construction.

On Solvable Generalized Calabi-Yau Manifolds

Paolo de Bartolomeis, Adriano Tomassini (2006)

Annales de l’institut Fourier

We give an example of a compact 6-dimensional non-Kähler symplectic manifold $(M, κ)$ that satisfies the Hard Lefschetz Condition. Moreover, it is showed that $(M, κ)$ is a special generalized Calabi-Yau manifold.

On the approximation of functions on a Hodge manifold

Alessandro Ghigi (2012)

Annales de la faculté des sciences de Toulouse Mathématiques

If $(M, ω)$ is a Hodge manifold and $f \in C^{\infty} (M, ℝ)$ we construct a canonical sequence of functions $f_{N}$ such that $f_{N} \to f$ in the $C^{\infty}$ topology. These functions have a simple geometric interpretation in terms of the moment map and they are real algebraic, in the sense that they are regular functions when $M$ is regarded as a real algebraic variety. The definition of $f_{N}$ is inspired by Berezin-Toeplitz quantization and by ideas of Donaldson. The proof follows quickly from known results of Fine, Liu and Ma.

On the automorphism group of strongly pseudoconvex domains in almost complex manifolds

Jisoo Byun, Hervé Gaussier, Kang-Hyurk Lee (2009)

Annales de l’institut Fourier

In contrast with the integrable case there exist infinitely many non-integrable homogeneous almost complex manifolds which are strongly pseudoconvex at each boundary point. All such manifolds are equivalent to the Siegel half space endowed with some linear almost complex structure.We prove that there is no relatively compact strongly pseudoconvex representation of these manifolds. Finally we study the upper semi-continuity of the automorphism group of some hyperbolic strongly pseudoconvex almost...

Currently displaying 1 – 20 of 43

Page 1 Next