Closed geodesics and non-differentiability of the metric in infinite-dimensional Teichmüller spaces

Zhong, Li

doi:10.1090/S0002-9939-96-03164-4

Closed geodesics and non-differentiability of the metric in infinite-dimensional Teichmüller spaces
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Proc. Amer. Math. Soc. 124 (1996), 1459-1465 Request permission

Abstract:

In this paper we construct a closed geodesic in any infinite- dimensional Teichmüller space. The construction also leads to a proof of non-differentiability of the metric in infinite-dimensional Teichmüller spaces, which provides a negative answer to a problem of Goldberg.

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