Karen Butt

collaborators

3 papers

math.DG2025

Quantitative marked length spectrum rigidity for surfaces

Karen Butt

We consider a closed negatively curved surface $(M, g)$ with marked length spectrum sufficiently close (multiplicatively) to that of a hyperbolic metric $g_{0}$ on $M$ . We show there…

math.DG2025

Approximate control of the marked length spectrum by short geodesics

Karen Butt

The marked length spectrum (MLS) of a closed negatively curved manifold $(M, g)$ is known to determine the metric $g$ under various circumstances. We show that in these cases, (app…

math.DG2025

Quantitative marked length spectrum rigidity

Karen Butt

We consider a closed Riemannian manifold $M$ of negative curvature and dimension at least 3 with marked length spectrum sufficiently close (multiplicatively) to that of a locally s…