International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 18, Pages 1155-1165
Randers manifolds of positive constant curvature
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.