Showing math.DGShow all
3 papers · 1 filter
math.DG2002
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…
math.DG2001
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…
math.DG2001
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…