Flexibility of surface groups in classical groups

Inkang Kim; Pierre Pansu

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arXiv · 1101.1159

Flexibility of surface groups in classical groups

Inkang Kim·Pierre Pansu

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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 $SU(p,q)$ (resp. $SO^* (2n)$, $n$ odd) and the surface group is maximal in some $S(U(p,p)\times U(q-p))\subset SU(p,q)$ (resp. $SO^* (2n-2)\times SO(2)\subset SO^* (2n)$). This is a converse, for classical groups, to a rigidity result of S. Bradlow, O. Garc\'ıa-Prada and P. Gothen.

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BibTeX RIS

Inkang Kim, Pierre Pansu. 2011-01-06. Flexibility of surface groups in classical groups. https://arxiv.org/abs/1101.1159

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