On the Weil-Petersson Metric on Teichmuller Space

DOI10.2307/1999289zbMath0578.58006OpenAlexW4235295524WikidataQ126020071 ScholiaQ126020071MaRDI QIDQ3700463

Arthur E. Fischer, Anthony J. Tromba

Publication date: 1984

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1999289

zbMATH Keywords

Teichmüller spaceKähler structureRiemannian structureWeil- Petersson Riemannian structure

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Classification theory of Riemann surfaces (30F20)

Related Items (16)

Chern forms and the Riemann tensor for the moduli space of curves ⋮ 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 ⋮ Determinants, torsion, and strings ⋮ On an energy function for the Weil-Petersson metric on Teichmüller space ⋮ Dirichlet's energy on Teichmüller's moduli space and the Nielsen realization problem ⋮ The evaluation map in field theory, sigma-models and strings. II ⋮ Riemannian metrics on Teichmüller space ⋮ On the Weil-Petersson convex geometry of Teichmüller space ⋮ On the DeWitt metric ⋮ Spaces of Riemannian metrics ⋮ Curvature formulas related to a family of stable Higgs bundles ⋮ Hamiltonian reduction of Einstein's equations of general relativity ⋮ Group actions, gauge transformations, and the calculus of variations ⋮ Weil-Petersson geometry for families of hyperbolic conical Riemann surfaces ⋮ Overview of the geometries of shape spaces and diffeomorphism groups ⋮ On the Kähler geometry of the Hilbert-Schmidt Grassmannian

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