2 papers
math.DG2026
On rigidity of Finsler manifolds without conjugate points and with constant -curvature
Anthony J. García, José Barbosa Gomes, Rafael O. Ruggiero
We study rigidity phenomena in closed Finsler manifolds without conjugate points under assumptions on the -curvature. We prove that a closed Finsler manifold with constant…
math.DS2024
Geodesics and dynamical information projections on the manifold of Hölder equilibrium probabilities
Artur O. Lopes, Rafael O. Ruggiero
We consider here the discrete time dynamics described by a transformation , where is either the action of shift on the symbolic space $M=\{1,2,...,d\}^\mathbb…