Topology of negatively curved real affine algebraic surfaces

DOI10.1515/CRELLE.2008.078zbMath1167.53005MaRDI QIDQ3542079

Chris Connell, Mohammad Ghomi

Publication date: 27 November 2008

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

Hadamard's problemnegatively curved surfacesreal affine algebraic surfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Surfaces in Euclidean and related spaces (53A05)

Related Items (2)

Ends of negatively curved surfaces in Euclidean space ⋮ Topological uniqueness of negatively curved surfaces

Uses Software

• Mathematica

Cites Work

• Local conditional expectations and an application to a central limit theorem on a locally compact Abelian group
• A complete minimal surface in \(R^ 3\) between two parallel planes
• Notes of the proof by N. Nadirashvili of conjectures of Hadamard and Calabi-Yau
• Complete proper minimal surfaces in convex bodies of \(\mathbb R^3\)
• On hyperbolic virtual polytopes and hyperbolic fans
• Embedding negatively curved initial data of black-hole collisions in R ³
• On the Classification of Cubic Surfaces
• Gauss map, topology, and convexity of hypersurfaces with nonvanishing curvature
• Hadamard's and Calabi-Yau's conjectures on negatively curved and minimal surfaces

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