Tristan Humbert

collaborators

4 papers

math.DG2026

Boundary Rigidity in a fixed conformal class for Asymptotically Hyperbolic Manifolds

Tristan Humbert, SebastiÃ¡n MuÃ±oz-Thon

Given two conformal asymptotically hyperbolic metrics which are either both simple or both negatively curved, we show that if their (marked) renormalized boundary distances coincid…

math.DS2025

Unstable entropy for Anosov diffeomorphisms on the 3-torus

Tristan Humbert

For Anosov diffeomorphisms on the $3$ -torus which are strongly partially hyperbolic with expanding center, we construct systems of strong unstable and center stable Margulis measur…

math.DS2025

Katok's entropy conjecture near real and complex hyperbolic metrics

Tristan Humbert

We show that, given a real or complex hyperbolic metric $g_{0}$ on a closed manifold $M$ of dimension $n \geq 3$ , there exists a neighborhood $U$ of $g_{0}$ in the space of neg…

math.DS2025

Measure of maximal entropy for minimal Anosov actions

Tristan Humbert

For a minimal Anosov $R^{I^} º$ -action on a closed manifold, we study the measure of maximal entropy constructed by Carrasco and Rodriguez-Hertz in \cite{CarHer} and show that…