Strictly non-proportional geodesically equivalent metrics have htop(g)=0
Boris S. Kruglikov, Vladimir S. Matveev
Abstract
Suppose the Riemannian metrics g and g on a closed connected manifold Mn are geodesically equivalent and strictly non-proportional at least at one point. Then the topological entropy of the geodesic flow of g vanishes.
Create a lesson
Related papers
Topological and spectral rigidity of hypersurface Zoll manifolds
Gustavo Martins
Stationary varifolds with singularities II
Camillo De Lellis, Jonas Hirsch, Zachary Lihn et al.
Alexandrov's Theorem for Integral Varifolds and Applications to Geometric Inequalities
Mitchell Gaudet
Deformations of harmonic maps with conical singularities
Dominik Gutwein, Thibault Langlais
The isoperimetric inequality and CMC hypersurfaces in Cartan-Hadamard manifolds
Shibing Chen, Mohammad Ghomi, Peng Wang
Finite-Time Singularities of the Kähler--Ricci Flow on Fano Bundles II
Wangjian Jian, Jian Song