Monotonicity of saddle maps

DOI10.1007/S10711-018-0337-2zbMath1414.53066arXiv1707.02367OpenAlexW2734923990WikidataQ130173494 ScholiaQ130173494MaRDI QIDQ1737581

Anton Petrunin, Stephan Stadler

Publication date: 23 April 2019

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02367

zbMATH Keywords

discssaddle surfacesaddle mapSchoen-Yau univalentnessunivalentness theorem

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (3)

The structure of minimal surfaces in \(\mathrm{CAT}(0)\) spaces ⋮ Curvature bounds on length-minimizing discs ⋮ Metric-minimizing surfaces revisited

Uses Software

• MathOverflow

Cites Work

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• On univalent harmonic maps between surfaces
• Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one
• Sobolev spaces and harmonic maps for metric space targets
• Harmonic maps between flat surfaces with conical singularities
• Metric-minimizing surfaces revisited
• Univalency of harmonic mappings between surfaces.
• An Invitation to Alexandrov Geometry

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