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- W1982911652 abstract "The Teichm{u}ller curve is the fiber space over Teichm{u}ller space of closed Riemann surfaces, where the fiber over a point in Teichm{u}ller space is the underlying surface. We derive formulas for sectional curvatures on the Teichm{u}ller curve. In particular, our method can be applied to investigate the geometry of the Weil-Petersson geodesic as a three-manifold, and the degeneration of the curvatures near the infinity of the augmented Teichm{u}ller space along a Weil-Petersson geodesic, as well as the minimality of hyperbolic surfaces in this three-manifold." @default.
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- W1982911652 date "2011-01-01" @default.
- W1982911652 modified "2023-10-05" @default.
- W1982911652 title "Curvatures on the Teichmueller curve" @default.
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- W1982911652 doi "https://doi.org/10.1512/iumj.2011.60.4443" @default.
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