Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Maximal representations of surface groups in bounded symmetric domains


Author: Luis Hernández
Journal: Trans. Amer. Math. Soc. 324 (1991), 405-420
MSC: Primary 32M15; Secondary 22E40
MathSciNet review: 1033234
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ \Gamma$ be the fundamental group of a hyperbolic surface of genus $ g$; for $ 1 \le p \le q,PSU(p,q)$ is the group of isometries of a certain Hermitian symmetric space $ {D_{p,q}}$ of rank $ p$. There exists a characteristic number $ c:\operatorname{Hom} (\Gamma ,PSU(p,q)) \to \mathbb{R}$, which is constant on each connected component and such that $ \vert c(\rho )\vert \leq 4p\pi (g - 1)$ for every representation $ \rho$. We show that representations with maximal characteristic number (plus some nondegeneracy condition if $ p > 2$ leave invariant a totally geodesic subspace of $ {D_{p,q}}$ isometric to $ {D_{p,p}}$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 32M15, 22E40

Retrieve articles in all journals with MSC: 32M15, 22E40


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1991-1033234-5
PII: S 0002-9947(1991)1033234-5
Article copyright: © Copyright 1991 American Mathematical Society



Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia