26 citations · 123 across the 21 of their papers we have counts for
4 papers · 1 filter
Groups acting on spaces of non-positive curvature
Bruno Duchesne
In this survey article, we present some panorama of groups acting on metric spaces of non-positive curvature. We introduce the main examples and their rigidity properties , we show…
Superrigidity In Infinite Dimension And Finite Rank Via Harmonic Maps
Bruno Duchesne
We prove geometric superrigidity for actions of cocompact lattices in semisimple Lie groups of higher rank on infinite dimensional Riemannian manifolds of nonpositive curvature and…
Infinite dimensional Riemannian symmetric spaces with fixed-sign curvature operator
Bruno Duchesne
We associate to any Riemannian symmetric space (of finite or infinite dimension) a L-algebra, under the assumption that the curvature operator has a fixed sign. L-algebras…
Infinite dimensional non-positively curved symmetric spaces of finite rank
Bruno Duchesne
This paper concerns a study of three families of non-compact type symmetric spaces of infinite dimension. Although they have infinite dimension they have finite rank. More precisel…