Flexibility of surface groups in classical simple Lie groups
Inkang Kim
KIAS, Seoul, South KoreaPierre Pansu
Université Paris-Sud 11, Orsay, France
Abstract
We show that a surface group of high genus contained in a classical simple Lie group can be deformed to become Zariski dense, unless the Lie group is (resp. , odd) and the surface group is maximal in some (resp. ). This is a converse, for classical groups, to a rigidity result of S. Bradlow, O. García-Prada and P. Gothen.
Cite this article
Inkang Kim, Pierre Pansu, Flexibility of surface groups in classical simple Lie groups. J. Eur. Math. Soc. 17 (2015), no. 9, pp. 2209–2242
DOI 10.4171/JEMS/555