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Article Dans Une Revue Journal of Differential Geometry Année : 2011

Length of a curve is quasi-convex along a Teichmuller geodesic

Anna Lenzhen
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Kasra Rafi
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Résumé

We show that for every simple closed curve alpha, the extremal length and the hyperbolic length of alpha are quasi-convex functions along any Teichmuller geodesic. As a corollary, we conclude that, in Teichmuller space equipped with the Teichmuller metric, balls are quasi-convex.

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Dates et versions

hal-00676351 , version 1 (05-03-2012)

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  • HAL Id : hal-00676351 , version 1

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Anna Lenzhen, Kasra Rafi. Length of a curve is quasi-convex along a Teichmuller geodesic. Journal of Differential Geometry, 2011, 88 (2), pp.267-295. ⟨hal-00676351⟩
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