Analytic formulas for complete hyperbolic affine spheres

DOI10.1007/s13366-013-0170-6zbMath1306.53006arXiv1305.4814OpenAlexW2593334940WikidataQ125759851 ScholiaQ125759851MaRDI QIDQ464808

Roland Hildebrand

Publication date: 30 October 2014

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4814

zbMATH Keywords

Monge-Ampère equationaffine hypersurfaceshyperbolic affine spheres

Mathematics Subject Classification ID

Affine differential geometry (53A15) Monge-Ampère equations (35J96)

Related Items (3)

Automorphisms of Rank-One Generated Hyperbolicity Cones and Their Derivative Relaxations ⋮ Affine sphere relativity ⋮ Self-associated three-dimensional cones

Cites Work

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• A note on characteristic functions and projectively invariant metrics on a bounded convex domain
• Affine spheres and Kähler-Einstein metrics.
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
• Global affine differential geometry of hypersurfaces

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