Geodesic
Flexibility of surface groups in classical simple Lie groups
Journal of the European Mathematical Society, Tome 17 (2015) no. 9, pp. 2209-2242 Cet article a éte moissonné depuis la source EMS Press

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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)×U(q−p))⊂SU(p,q) (resp. SO∗(2n−2)×SO(2)⊂SO∗(2n)). This is a converse, for classical groups, to a rigidity result of S. Bradlow, O. García-Prada and P. Gothen.
DOI : 10.4171/jems/555
Classification : 51-XX, 57-XX
Keywords: Algebraic group, symmetric space, rigidity, group cohomology, moduli space 
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     author = {Inkang Kim and Pierre Pansu},
     title = {Flexibility of surface groups in classical simple {Lie} groups},
     journal = {Journal of the European Mathematical Society},
     pages = {2209--2242},
     year = {2015},
     volume = {17},
     number = {9},
     doi = {10.4171/jems/555},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/555/}
}
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Inkang Kim; Pierre Pansu. Flexibility of surface groups in classical simple Lie groups. Journal of the European Mathematical Society, Tome 17 (2015) no. 9, pp. 2209-2242. doi: 10.4171/jems/555

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