Riemannian connections and curvatures on the universal Teichmüller space

DOI10.1016/j.crma.2005.06.028zbMath1080.30040OpenAlexW2032863458WikidataQ115358321 ScholiaQ115358321MaRDI QIDQ2565517

Hélène Airault

Publication date: 27 September 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.06.028

zbMATH Keywords

Teichmüller spacecurvatureRiemannian connection

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Teichmüller theory for Riemann surfaces (30F60)

Related Items (2)

Riemannian geometry of \(\text{Diff}(S^{1})/S^{1}\) ⋮ Geometry of the group Diff(S¹) of diffeomorphisms of the circle. Vector fields with divergence zero on the group of diffeomorphisms of the two dimensional torus

Cites Work

• Unnamed Item
• A Cameron-Martin type quasi-invariance theorem for Brownian motion on a compact Riemannian manifold
• Integration by parts for heat measures over loop groups
• Unitarizing probability measures for representations of Virasoro algebra
• Renormalized differential geometry on path space: Structural equation, curvature
• Canonical Brownian motion on the diffeomorphism group of the circle
• Modulus of continuity of the canonic Brownian motion ``on the group of diffeomorphisms of the circle
• Canonical Brownian motion on the space of univalent functions and resolution of Beltrami equations by a continuity method along stochastic flows
• Integration by parts formulas and dilatation vector fields on elliptic probability spaces
• The Ricci curvature of Diff S1/SL(2, R)

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