Geodesic-length functions and the Weil-Petersson curvature tensor

DOI10.4310/jdg/1344430826zbMath1252.32022arXiv1008.2293OpenAlexW2962939847WikidataQ115169984 ScholiaQ115169984MaRDI QIDQ713193

Scott A. Wolpert

Publication date: 26 October 2012

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.2293

zbMATH Keywords

curvature tensorWeil-Petersson metricgeodesic-length function

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Geodesics in global differential geometry (53C22) Teichmüller theory for Riemann surfaces (30F60) Geodesic flows in symplectic geometry and contact geometry (53D25)

Related Items (12)

Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures ⋮ The vanishing rate of Weil-Petersson sectional curvatures ⋮ Equiboundedness of the Weil-Petersson metric ⋮ Plurisuperharmonicity of reciprocal energy function on Teichmüller space and Weil-Petersson metric ⋮ Infinitesimal deformations of nodal stable curves ⋮ Shape dynamics in 2 + 1 dimensions ⋮ Sharp eigenvalue estimates on degenerating surfaces ⋮ Holomorphic quadratic differentials dual to Fenchel-Nielsen coordinates ⋮ The Weil-Petersson curvature operator on the universal Teichmüller space ⋮ Second variation of Selberg zeta functions and curvature asymptotics ⋮ Products of twists, geodesic lengths and Thurston shears ⋮ Weil-Petersson geodesics on the modular surface

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