Randers manifolds of positive constant curvature

Aurel Bejancu and Hani Reda Farran

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-11

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.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:236943

DOI: 10.1155/S0161171203111301

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