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On Finsler spaces of Douglas type. A generalization of the notion of Berwald space. (English) Zbl 0907.53045

Summary: A new generalization of the notion of Berwald space is proposed from the viewpoint of the equation of geodesics. A Douglas space is characterized by the vanishing Douglas tensor. Various examples of Douglas spaces are given in relation to other special Finsler spaces.

MSC:

53C60 Global differential geometry of Finsler spaces and generalizations (areal metrics)
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