THE INTRINSIC ASYMMETRY AND INHOMOGENEITY OF TEICHMULLER SPACE

摘要

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