Hermitian curvature and plurisubharmonicity of energy on Teichmüller space

DOI10.1007/s00039-012-0185-4zbMath1254.32020arXiv1104.1786OpenAlexW2035757753MaRDI QIDQ690617

Domingo Toledo

Publication date: 28 November 2012

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

Full work available at URL: https://arxiv.org/abs/1104.1786

zbMATH Keywords

harmonic mapRiemann surfaceRiemannian manifod

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Harmonic maps, etc. (58E20)

Related Items (11)

The energy spectrum of metrics on surfaces ⋮ Plurisubharmonicity and geodesic convexity of energy function on Teichmueller space ⋮ On deformations of Fano manifolds ⋮ Weil-Petersson metrics on deformation spaces ⋮ A RIGIDITY PROPERTY OF PLURIHARMONIC MAPS FROM PROJECTIVE MANIFOLDS ⋮ Plurisubharmonicity of the Dirichlet energy and deformations of polarized manifolds ⋮ Plurisuperharmonicity of reciprocal energy function on Teichmüller space and Weil-Petersson metric ⋮ The second variation of the Hodge norm and higher Prym representations ⋮ Deformations of twisted harmonic maps and variation of the energy ⋮ Holomorphic quadratic differentials in Teichmüller theory ⋮ Strict plurisubharmonicity of the energy on Teichmüller space associated to Hitchin representations

Cites Work

• Rigidity of certain harmonic mappings
• The complex-analyticity of harmonic maps and the strong rigidity of compact Kaehler manifolds
• Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
• Deformations of metrics and associated harmonic maps
• Applications of harmonic maps to Kähler geometry
• Some properties and applications of harmonic mappings
• Super Stable Kählerian Horseshoe?
• On Homotopic Harmonic Maps
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