Plurisuperharmonicity of reciprocal energy function on Teichmüller space and Weil-Petersson metric
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Publication:2193436
DOI10.1016/j.matpur.2020.01.009zbMath1445.53049arXiv1901.05048OpenAlexW3003786693MaRDI QIDQ2193436
Xueyuan Wan, Inkang Kim, Genkai Zhang
Publication date: 18 August 2020
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.05048
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometric aspects of harmonic maps (53C43) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (2)
Plurisubharmonicity and geodesic convexity of energy function on Teichmueller space ⋮ Plurisubharmonicity of the Dirichlet energy and deformations of polarized manifolds
Cites Work
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- Hermitian curvature and plurisubharmonicity of energy on Teichmüller space
- Geodesic-length functions and the Weil-Petersson curvature tensor
- Rigidity of certain harmonic mappings
- Canonical metrics on the moduli space of Riemann surfaces. II
- The complex-analyticity of harmonic maps and the strong rigidity of compact Kaehler manifolds
- On a natural algebraic affine connection on the space of almost complex structures and the curvature of Teichmüller space with respect to its Weil-Petersson metric
- The Teichmüller theory of harmonic maps
- Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
- Compact Kähler manifolds of positive bisectional curvature
- Lie groups and Teichmüller space
- Noncompleteness of the Weil-Petersson metric for Teichmüller space
- Restrictions on harmonic maps of surfaces
- Liouville action and Weil-Petersson metric on deformation spaces, global Kleinian reciprocity and holography
- Weil-Petersson convexity of the energy functional on classical and universal Teichmüller spaces.
- Positivity of relative canonical bundles and applications
- Geodesic length functions and the Nielsen problem
- Deformations of metrics and associated harmonic maps
- Geometry of harmonic maps
- The moduli space of Riemann surfaces is Kähler hyperbolic
- Geometric approach to the Weil-Petersson symplectic form
- Some remarks on Teichmüller's space of Riemann surfaces
- Variation of geodesic length functions in families of Kähler-Einstein manifolds and applications to Teichmüller space
- Applications of harmonic maps to Kähler geometry
- A New Proof that Teichmuller Space is a Cell
- On the Holomorphicity of Harmonic Maps from Compact Kahler Manifolds to Hyperbolic Riemann Surfaces
- Some properties and applications of harmonic mappings
- Geodesic-Einstein metrics and nonlinear stabilities
- Cross ratios, Anosov representations and the energy functional on Teichmüller space
- On Homotopic Harmonic Maps
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