3 papers
math.DS2026
Monotonicity of the Liouville entropy along the Ricci flow on surfaces
Karen Butt, Alena Erchenko, Tristan Humbert +1
We show that the Liouville entropy of the geodesic flow of a closed surface of non-constant negative curvature is eventually strictly increasing along the normalized Ricci flow (NR…
math.DG2025
Marked Poincaré rigidity near hyperbolic metrics and injectivity of the Lichnerowicz Laplacian in dimension 3
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 Poincaré determinant (MPD), a ho…
math.DG2025
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…