Minimal Lagrangian diffeomorphisms between domains in the hyperbolic plane

DOI10.4310/jdg/1217361064zbMath1154.53034arXiv0805.1897OpenAlexW1746578443WikidataQ115173058 ScholiaQ115173058MaRDI QIDQ946808

Simon Brendle

Publication date: 24 September 2008

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.1897

zbMATH Keywords

complete simply-connected surface of constant curvature \(\kappa\leq 0\)minimal Lagrangian diffeomorphismstrictly convex domains with smooth boundary

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Lagrangian submanifolds; Maslov index (53D12)

Related Items (6)

Non-uniqueness of minimal surfaces in a product of closed Riemann surfaces ⋮ Maximal surfaces and the universal Teichmüller space ⋮ Uniqueness of minimal diffeomorphisms between surfaces ⋮ Global regularity for the Monge-Ampère equation with natural boundary condition ⋮ Polynomial quadratic differentials on the complex plane and light-like polygons in the Einstein universe ⋮ Rigidity of minimal Lagrangian diffeomorphisms between spherical cone surfaces

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