Proper holomorphic maps in Euclidean spaces avoiding unbounded convex sets (Q2698519)

scientific article; zbMATH DE number 7677839

Language	Label	Description	Also known as
English	Proper holomorphic maps in Euclidean spaces avoiding unbounded convex sets	scientific article; zbMATH DE number 7677839

Statements

instance of

scholarly article

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title

Proper holomorphic maps in Euclidean spaces avoiding unbounded convex sets (English)

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author

Barbara Drinovec Drnovšek

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Franc Forstnerič

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published in

The Journal of Geometric Analysis

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publication date

24 April 2023

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full work available at URL

https://arxiv.org/abs/2301.01268

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zbMATH Keywords

Stein manifold

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holomorphic embedding

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Oka manifold

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minimal surface

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convexity

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Every bordered Riemann surface is a complete conformal minimal surface bounded by Jordan curves: Figure. 5.1.

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Minimal Surfaces from a Complex Analytic Viewpoint

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Minimal surfaces in $\mathbb{R}^3$ properly projecting into $\mathbb{R}^2$

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Explicit imbedding of the (punctured) disc into $\mathbb{C}^2$

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Global and fine approximation of convex functions

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Mappings of Partially Analytic Spaces

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Proper holomorphic disks in the complement of varieties in $\mathbb C^2$

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Q4933812

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Q4033108

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Immersions and Embeddings in Domains of Holomorphy

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Proper holomorphic discs avoiding closed convex sets

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Proper discs in Stein manifolds avoiding complete pluripolar sets

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Holomorphic curves in complex spaces

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Strongly pseudoconvex domains as subvarieties of complex manifolds

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Flexible domains for minimal surfaces in Euclidean spaces

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Embeddings of Stein manifolds of dimension $n$ into the affine space of dimension $3n/2+1$

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Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan

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Embedding Strictly Pseudoconvex Domains Into Balls

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Stein Manifolds and Holomorphic Mappings

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Holomorphic embeddings and immersions of Stein manifolds: a survey

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Recent developments on Oka manifolds

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Proper holomorphic discs in $\mathbb{C}^2$

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Oka properties of ball complements

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Continuous Convex Sets.

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Boundary interpolation by proper holomorphic maps

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On the Smoothness of Convex Envelopes

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Q3184975

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Applications holomorphes propres continues de domaines strictement pseudoconvexes de ${\mathbb{C}}^ n$ dans la boule unité de ${\mathbb{C}}^{n+1}$. (On the extension of proper holomorphic mappings from strictly pseudoconvex domains in ${\mathbb{C}}^ n$ into the unit ball of ${\mathbb{C}}^{n+1})$

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Fonctions holomorphes bornées sur la boule unite de $C^ n$.

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The strong halfspace theorem for minimal surfaces

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A construction of inner functions on the unit ball in $C^ p$

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Embeddings and proper holomorphic maps of strictly pseudoconvex domains into polydiscs and balls

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Imbedding of Holomorphically Complete Complex Spaces

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Q3232434

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Q4847232

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Embeddings of Stein spaces into affine spaces of minimal dimension

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Proper holomorphic mappings from strongly pseudoconvex domains in $\mathsf{C}^2$ to the unit polydisc in $\mathsf{C}^2$.

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Identifiers

Mathematics Subject Classification ID

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10.1007/S12220-023-01222-Z

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Sitelinks

Mathematics(1 entry)

mardi Publication:2698519