18 citations · 186 across the 49 of their papers we have counts for
3 papers · 1 filter
Vanishing simplicial volume for certain affine manifolds
Michelle Bucher, Chris Connell, Jean-François Lafont
We show that closed aspherical manifolds supporting an affine structure, whose holonomy map is injective and contains a pure translation, must have vanishing simplicial volume. Thi…
The weak specification property for geodesic flows on CAT(-1) spaces
David Constantine, Jean-François Lafont, Daniel J. Thompson
We prove that the geodesic flow on a compact locally CAT(-1) space has the weak specification property, and give various applications. We show that every Hölder potential on the sp…
On the Hausdorff dimension of CAT() surfaces
David Constantine, Jean-Francois Lafont
We prove that a closed surface with a CAT() metric has Hausdorff dimension = 2, and that there are uniform upper and lower bounds on the two-dimensional Hausdorff measure of sma…