## 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)