4 papers
Some recent applications of the barycenter method in geometry
Christopher Connell, Benson Farb
In this paper we describe some recent applications of the barycenter method in geometry. This method was first used by Duady-Earle and later greatly extended by Besson-Courtois-Gal…
A strong Schottky Lemma for nonpositively curved singular spaces
Roger C. Alperin, Benson Farb, Guennadi A. Noskov
In this paper we give a criterion for pairs of isometries of a nonpositively curved metric space to generate a free group. This criterion holds only in singular spaces, for example…
Minimal entropy rigidity for lattices in products of rank one symmetric spaces
Christopher Connell, Benson Farb
We prove minimal entropy rigidity for complete, finite volume manifolds locally isometric to a product of rank one symmetric spaces of dimension at least 3: the locally symmetric m…
The Degree Theorem in higher rank
Christopher Connell, Benson Farb
Let M be any closed, locally symmetric n-manifold (n>1) of nonpositive curvature. Assume that M has no locally Euclidean factors and no factors locally isometric to SL(3,R). Then f…