Marcelo R. R. Alves

collaborators

2 papers

math.DS2026

Polytopes and $C^{0}$ -Riemannian metrics with positive $h_{top}$

Marcelo R. R. Alves, Matthias Meiwes

We study Reeb dynamics on starshaped hypersurfaces in $R^{4}$ arising as smoothings of starshaped polytopes. Using the $C^{0}$ --stability of positive topological entropy for R…

math.DS2025

From curve shortening to flat link stability and Birkhoff sections of geodesic flows

Marcelo R. R. Alves, Marco Mazzucchelli

We employ the curve shortening flow to establish three new results on the dynamics of geodesic flows of closed Riemannian surfaces. The first one is the stability, under $C^{0}$ -smal…

Polytopes and C0-Riemannian metrics with positive htop​

From curve shortening to flat link stability and Birkhoff sections of geodesic flows

Polytopes and $C^{0}$ -Riemannian metrics with positive $h_{top}$