Abstract
The degree of mobility of a Riemannian metric $g$ is the dimension of the space of Riemannian metrics sharing the same geodesics with $g$. We prove that the degree of mobility of an irreducible Riemannian metric on a closed manifold is at most two, unless the sectional curvature is positive constant.
Information
Digital Object Identifier: 10.2969/aspm/04310221