Generalized Symmetric Berwald Spaces

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Abstract:

In this paper we study generalized symmetric Berwald spaces. We show that if a Berwald space $(M,F)$ admits a parallel $s-$structure then it is locally symmetric. For a complete Berwald space which admits a parallel s-structure we show that if the flag curvature of $(M,F)$ is everywhere nonzero, then $F$ is Riemannian.

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Journal title

volume 9  issue None

pages  63- 69

publication date 2014-05

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