Sub-Riemannian structures corresponding to K\"ahlerian metrics on the universal Teichmueller space and curve

zbMath1291.53043arXiv1202.6135MaRDI QIDQ5168951

Irina Markina, Erlend Grong, Alexander Vasil'ev

Publication date: 21 July 2014

Full work available at URL: https://arxiv.org/abs/1202.6135

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) General theory of conformal mappings (30C35) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Sub-Riemannian geometry (53C17) Manifolds of metrics (especially Riemannian) (58D17)

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Comparison Moduli Spaces of Riemann Surfaces ⋮ Controllability on infinite-dimensional manifolds: a Chow-Rashevsky theorem ⋮ Right-invariant Sobolev metrics of fractional order on the diffeomorphism group of the circle

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