12 citations · 34 across the 15 of their papers we have counts for
5 papers · 1 filter
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…
Marked length spectrum rigidity in nonpositive curvature with singularities
David Constantine
Combining several previously known arguments, we prove marked length spectrum rigidity for surfaces with nonpositively curved Riemannian metrics away from a finite set of cone-type…
Marked length rigidity for Fuchsian buildings
David Constantine, Jean-François Lafont
We consider finite 2-complexes X that arise as quotients of Fuchsian buildings by subgroups of the combinatorial automorphism group, which we assume act freely and cocompactly. We…
Marked length rigidity for one dimensional spaces
David Constantine, Jean-François Lafont
We prove that for compact, non-contractible, one dimensional geodesic spaces, a version of the marked length spectrum conjecture holds. For a compact one dimensional geodesic space…
Marked length rigidity for one dimensional spaces
Jean-Francois Lafont
Any two compact, complete, one-dimensional geodesic spaces with identical marked length spectrum have isometric -hull. The present version contains errors, notably in Lemmas 2…