TIght maps and holomorphicity
Journal article, 2014

Tight maps were introduced and studied along tight homomorphisms by Burger, Iozzi and Wienhard with aims towards maximal representations. In this paper we show that, with the exception of maps from the Poincaré disc, tight maps into classical Hermitian symmetric spaces must be holomorphic or antiholomorphic. Together with previous results this completely classi_es tight maps into classical codomains.

Hermitian symmetric spaces

Bounded cohomology

Tight homomorphisms

Author

Oskar Hamlet

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Transformation Groups

1083-4362 (ISSN) 1531-586X (eISSN)

Vol. 19 4 999-1026

Subject Categories

Mathematics

Geometry

DOI

10.1007/s00031-014-9283-8