McShane's identity in rank one symmetric spaces

作者:Kim Inkang*; Kim Joonhyung; Tan Ser Peow
来源:Mathematical Proceedings of the Cambridge Philosophical Society, 2014, 157(1): 113-137.
DOI:10.1017/S0305004114000152

摘要

We study McShane's identity in real and complex hyperbolic spaces and obtain various generalizations of the identity for representations of surface groups into the isometry groups of rank one symmetric spaces. Our methods unify most of the existing methods used in the existing literature for proving this class of identities.

  • 出版日期2014-7

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