Geodesic
Superrigidity in infinite dimension and finite rank via harmonic maps
Bruno Duchesne1
1Université de Lorraine, CNRS, Vandoeuvre-lès-Nancy, France
Groups, geometry, and dynamics, Tome 9 (2015) no. 1, pp. 133-148

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DOI

We consider infinite dimensional Riemannian manifolds of nonpositive curvature and finite telescopic dimension. We prove geometric superrigidity for actions of cocompact lattices in semisimple Lie groups of higher rank on theses spaces.
DOI : 10.4171/ggd/308
Classification : 53-XX, 22-XX
Mots-clés : Infinite dimensional symmetric spaces, harmonic maps, superrigidity

Bruno Duchesne  1

1 Université de Lorraine, CNRS, Vandoeuvre-lès-Nancy, France 
Bruno Duchesne. Superrigidity in infinite dimension and finite rank via harmonic maps. Groups, geometry, and dynamics, Tome 9 (2015) no. 1, pp. 133-148. doi: 10.4171/ggd/308
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     title = {Superrigidity in infinite dimension and finite rank via harmonic maps},
     journal = {Groups, geometry, and dynamics},
     pages = {133--148},
     year = {2015},
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     number = {1},
     doi = {10.4171/ggd/308},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/308/}
}
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