2023/09/19 by Gogolev, Andrey, Reber, James Marshall
#Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.2309.10882
Given a closed orientable negatively curved Riemannian surface (M,g), we show how to construct a perturbation (M,g^′) such that each closed geodesic becomes longer, and yet there is no diffeomorphism f : (M,g^′) → (M,g) which contracts every tangent vector.