most citedWeil-Petersson metric on the universal Teichmuller space I: Curvature properties and Chern forms

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math.CV2003★ 18 cited

Weil-Petersson metric on the universal Teichmuller space I: Curvature properties and Chern forms

Leon A. Takhtajan, Lee-Peng Teo

We prove that the universal Teichmuller space T(1) carries a new structure of a complex Hilbert manifold. We show that the connected component of the identity of T(1), the Hilbert…