Complete densely embedded complex lines in ℂ²

DOI10.1090/proc/13873zbMath1386.32016arXiv1702.08032OpenAlexW3121316752MaRDI QIDQ3130827

Franc Forstnerič, Antonio Alarcón

Publication date: 29 January 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.08032

zbMATH Keywords

holomorphic immersionsholomrphic embeddings

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Stein spaces (32E10) Automorphism groups of (mathbb{C}^n) and affine manifolds (32M17)

Related Items (3)

The first thirty years of Andersén-Lempert theory ⋮ Complete complex hypersurfaces in the ball come in foliations ⋮ Wild holomorphic foliations of the ball

Cites Work

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• Embeddings of infinitely connected planar domains into \(\mathbb C^2\)
• Proper holomorphic embeddings of Riemann surfaces with arbitrary topology into \({\mathbb C^2}\)
• Proper holomorphic embeddings into Stein manifolds with the density property
• A Riemannian Bieberbach estimate
• Approximation of biholomorphic mappings by automorphisms of \(\mathbb{C}^ n\)
• Complete bounded embedded complex curves in \(\mathbb {C}^2\)
• Embedding complete holomorphic discs through discrete sets
• A complete complex hypersurface in the ball of \(\mathbb{C}^N\)
• Anti-invariant submanifolds of a Sasakian manifold with vanishing contact Bochner curvature tensor
• Complete minimal surfaces densely lying in arbitrary domains of \(\mathbb{R}^n\)
• Embedding some bordered Riemann surfaces in the affine plane
• Embedding holomorphic discs through discrete sets
• Harmonic mappings and conformal minimal immersions of Riemann surfaces into \(\mathbb R^{\mathrm N}\)
• Complete embedded complex curves in the ball of \(\mathbb{C}^2\) can have any topology
• A construction of complete complex hypersurfaces in the ball with control on the topology
• The Calabi-Yau conjectures for embedded surfaces
• Stein Manifolds and Holomorphic Mappings
• The density property for complex manifolds and geometric structures

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