International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 18, Pages 1155-1165
doi:10.1155/S0161171203111301

Randers manifolds of positive constant curvature

Abstract

We prove that any simply connected and complete Riemannian manifold, on which a Randers metric of positive constant flag curvature exists, must be diffeomorphic to an odd-dimensional sphere, provided a certain 1-form vanishes on it.