International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 18, Pages 1155-1165

Randers manifolds of positive constant curvature

Aurel Bejancu and Hani Reda Farran

Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait

Received 7 November 2001

Copyright © 2003 Aurel Bejancu and Hani Reda Farran. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.