2 papers
math.DS2026
A Metric Entropy Formula for Magnetic Flows without Conjugate Points
Guilherme Brandão Guglielmo, Anthony J. García
In this paper, we use the recently introduced notation and terminology for magnetic systems, which provide a natural framework for extending techniques and results from the theory…
math.DS2026
Path Connectivity of Anosov Metrics on Surfaces
Guilherme Brandão Guglielmo, R. Ruggiero
We construct a class of Riemannian metrics in closed surfaces of genus greater than one, having Anosov geodesic flows, and some regions of positive curvature, such that for each su…