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期刊论文
On locally and globally symmetric Berwald spaces*
J. Phys. A: Math. Gen. 38(2005)1691~1697,-0001,():
In this paper, we generalize Cartan's work on Riemannian locally and globally symmetric spaces to locally and globally symmetric Berwald spaces. We prove that a Berwald space is locally symmetric if and only if the flag curvature is invariant under parallel displacements and a locally symmetric Berwald space is locally isometric to a globally symmetric Berwald space.
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