The intrinsic asymmetry and inhomogeneity of Teichmüller space

Benson Farb, Shmuel Weinberger

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Source: Crossref

Published: Oct 1, 2010

DOI: 10.1215/00127094-2010-051

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Source abstract

We generalize two theorems of Royden about the Teichmüller metric to any complete, finite covolume, mapping class group invariant Finsler (e.g., Riemannian) metric on Teichmüller space. In addition to giving a new proof of Royden's results, the theorems apply to many other metrics on Teichmüller space.

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