The energy spectrum of metrics on surfaces

DOI10.1007/s10711-022-00704-8zbMath1497.53079arXiv2104.09450OpenAlexW3154684151MaRDI QIDQ2153532

Ivo Slegers

Publication date: 5 July 2022

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

Full work available at URL: https://arxiv.org/abs/2104.09450

zbMATH Keywords

hyperbolic metricssimple length spectrumKleinian surface groupsDirichlet energiessingular flat metrics

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Manifolds of metrics (especially Riemannian) (58D17)

Cites Work

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• Cyclic surfaces and Hitchin components in rank 2
• Length spectra and degeneration of flat metrics
• Surfaces with the same marked length spectrum
• Hermitian curvature and plurisubharmonicity of energy on Teichmüller space
• Le spectre marqué des longueurs des surfaces à courbure négative. (The spectrum marked by lengths of surfaces with negative curvature)
• Geodesics with bounded intersection number on surfaces are sparsely distributed
• The Teichmüller theory of harmonic maps
• Harmonic maps, length, and energy in Teichmüller space
• Lie groups and Teichmüller space
• The marked length-spectrum of a surface of nonpositive curvature
• Simple length rigidity for Kleinian surface groups and applications
• Deformations of metrics and associated harmonic maps
• Sobolev spaces and harmonic maps for metric space targets
• Non-uniqueness of minimal surfaces in a product of closed Riemann surfaces
• Simple length rigidity for Hitchin representations
• Anosov flows, surface groups and curves in projective space
• Minimal Immersions of Closed Riemann Surfaces
• Strict plurisubharmonicity of the energy on Teichmüller space associated to Hitchin representations
• Cross ratios, Anosov representations and the energy functional on Teichmüller space
• Harmonic Mappings of Riemannian Manifolds