13 citations · 19 across the 13 of their papers we have counts for
4 papers · 1 filter
Monotonicity of topological entropy along the Ricci flow near a hyperbolic metric
Karen Butt, Alena Erchenko, Tristan Humbert
In 2004, Manning showed that the topological entropy of the geodesic flow of a closed surface of non-constant negative curvature is strictly decreasing along the normalized Ricci f…
Marked Poincar{é} rigidity near hyperbolic metrics
Karen Butt, Alena Erchenko, Tristan Humbert +2
Let be a compact manifold without boundary equipped with a Riemannian metric of negative curvature. In this paper, we introduce the marked Poincar{é} determinant (MPD), a h…
Marked boundary rigidity for surfaces of Anosov type
Alena Erchenko, Thibault Lefeuvre
Let be a smooth compact connected oriented surface with boundary. A metric on is said to be of Anosov type if it has strictly convex boundary, no conjugate points, and a hy…
Riemannian Anosov extension and applications
Dong Chen, Alena Erchenko, Andrey Gogolev
Let be a Riemannian manifold with strictly convex spherical boundary. Assuming absence of conjugate points and that the trapped set is hyperbolic, we show that can be isome…