The intrinsic asymmetry and inhomogeneity of Teichmüller space

Farb, Benson; Weinberger, Shmuel

Duke Math. J., Tome 151 (2010) no. 1, p. 91-103 / Harvested from Project Euclid

Résumé

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.

Publié le : 2010-10-01
Classification: 30F60, 22F50

@article{1285247219,
     author = {Farb, Benson and Weinberger, Shmuel},
     title = {The intrinsic asymmetry and inhomogeneity of Teichm\"uller space},
     journal = {Duke Math. J.},
     volume = {151},
     number = {1},
     year = {2010},
     pages = { 91-103},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1285247219}
}

Farb, Benson; Weinberger, Shmuel. The intrinsic asymmetry and inhomogeneity of Teichmüller space. Duke Math. J., Tome 151 (2010) no. 1, pp.  91-103. http://gdmltest.u-ga.fr/item/1285247219/