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Semi-symmetric ball-homogeneous spaces and a volume conjecture
Published online by Cambridge University Press: 17 April 2009
Abstract
We prove that semi-symmetric ball-homogeneous spaces are locally symmetric and we use this result to prove that a semi-symmetric Riemannian manifold such that the volume of each sufficiently small geodesic ball is the same as in a Euclidean space, is locally flat.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 57 , Issue 1 , February 1998 , pp. 109 - 115
- Copyright
- Copyright © Australian Mathematical Society 1998
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