On special Finsler spaces with common geodesics (Q2706510)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On special Finsler spaces with common geodesics |
scientific article |
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19 March 2001
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projective change
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Finsler space
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symmetric space
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recurrent space
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Douglas tensor
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On special Finsler spaces with common geodesics (English)
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It is proved that if a symmetric Finsler space remains to be symmetric under a non-trivial \({\mathcal Z}\)-transform [as defined in \textit{M. Fukui} and \textit{T. Yamada}, Tensor, New Ser. 35, 216-222 (1981; Zbl 0465.53017)], then the space is of zero-curvature. Further, \({\mathcal W}\)-recurrent and \({\mathcal D}\)-recurrent Finsler spaces under projective changes are studied.
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