Non-uniqueness of minimal surfaces in a product of closed Riemann surfaces

DOI10.1007/s00039-021-00590-4zbMath1492.53081OpenAlexW4205445902WikidataQ114231702 ScholiaQ114231702MaRDI QIDQ2125152

Yanyan Li

Publication date: 13 April 2022

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00039-021-00590-4

zbMATH Keywords

minimal surfaceRiemann surfaceenergies

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

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Cites Work

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• Cyclic surfaces and Hitchin components in rank 2
• Minimal Lagrangian diffeomorphisms between domains in the hyperbolic plane
• On the Gerstenhaber-Rauch principle
• The Teichmüller theory of harmonic maps
• Amenability, Poincaré series and quasiconformal maps
• Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
• High energy degeneration of harmonic maps between surfaces and rays in Teichmüller space
• Constant mean curvature surface, harmonic maps, and universal Teichmüller space
• The second variation of area of minimal surfaces in four-manifolds
• Lagrangian minimal surfaces in Kähler-Einstein surfaces of negative scalar curvature
• The geometry of maximal representations of surface groups into \(\mathrm{SO}_0(2,n)\)
• The Self-Duality Equations on a Riemann Surface
• Uniqueness of minimal diffeomorphisms between surfaces