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Reduction theorems of certain Douglas spaces to Berwald spaces. (English) Zbl 1126.53308

Summary: The notion of Douglas space was proposed by the present authors as a generalization of the notion of Berwald space. Some Finsler spaces of Douglas type are reduced to Berwald spaces. In the present paper we are mainly concerned with Finsler spaces with \((\alpha,\beta)\)-metric and expect further development.

MSC:

53B40 Local differential geometry of Finsler spaces and generalizations (areal metrics)
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