TIght maps and holomorphicity
Artikel i vetenskaplig tidskrift, 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

Författare

Oskar Hamlet

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Transformation Groups

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

Vol. 19 999-1026

Ämneskategorier

Matematik

Geometri

DOI

10.1007/s00031-014-9283-8