32 citations · 33 across the 3 of their papers we have counts for
8 papers
Differentiating maps into L^1 and the geometry of BV functions
Jeff Cheeger, Bruce Kleiner
This is one of a series of papers examining the interplay between differentiation theory for Lipschitz maps, X-->V, and bi-Lipschitz nonembeddability, where X is a metric measure s…
Singularity structure in mean curvature flow of mean convex sets
Tobias H. Colding, Bruce Kleiner
In this note we announce results on the mean curvature flow of mean convex sets in 3-dimensions. Loosely speaking, our results justify the naive picture of mean curvature flow wher…
Quasi-hyperbolic planes in hyperbolic groups
Mario Bonk, Bruce Kleiner
The hyperbolic plane admits a quasi-isometric embedding into a hyperbolic group if and only if the group is not virtually free.
Van Kampen's embedding obstruction for discrete groups
Mladen Bestvina, Michael Kapovich, Bruce Kleiner
We give a lower bound to the dimension of a contractible manifold on which a given group can act properly discontinuously. In particular, we show that the -fold product of nonab…
Rigidity for Quasi-Mobius group actions
Mario Bonk, Bruce Kleiner
Suppose G is a hyperbolic group whose boundary has topological dimension k. If the boundary is quasisymmetrically homeomorphic to an Ahlfors k-regular metric space, then, modulo a…
The geodesic flow of a nonpositively curved graph manifold
Christopher B. Croke, Bruce Kleiner
We study discrete, cocompact, isometric actions of groups on Hadamard spaces, and the induced actions on ideal boundaries. For a class of groups generalizing fundamental groups of…