A MCSHANE-TYPE IDENTITY FOR CLOSED SURFACES

作者:Huang Yi*
来源:Nagoya Mathematical Journal, 2015, 219: 65-86.
DOI:10.1215/00277630-2887835

摘要

We prove a McShane-type identity: a series, expressed in terms of geodesic lengths, that sums to 2p for any closed hyperbolic surface with one distinguished point. To do so, we prove a generalized Birman-Series theorem showing that the set of complete geodesics on a hyperbolic surface with large cone angles is sparse.

  • 出版日期2015-9