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Space forms from the viewpoint of their geodesic spheres
Published online by Cambridge University Press: 17 April 2009
Abstract
In this paper, we focus our attention on the extrinsic shape of geodesics on geodesic spheres in a given Riemannian manifold M. We characterise real and complex space forms in the class of smooth Riemannian manifolds from this point of view.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 62 , Issue 2 , October 2000 , pp. 205 - 210
- Copyright
- Copyright © Australian Mathematical Society 2000
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