Finsler space with special \((\alpha,\beta)\)-metric of Douglas type (Q2904153)

Douglas spaces have been introduced by S. Bacso and M. Matsumoto as a generalization of Berwald spaces from the point of view of geodesic equations.NEWLINENEWLINEIn the paper under review the authors obtain technical conditions under which a Finsler space with \((\alpha,\beta)\) metric NEWLINE\[NEWLINEL^{2} = \alpha^{p} \beta^{q}, \quad p+q=2,\tag{1}NEWLINE\]NEWLINE NEWLINE\[NEWLINEL^{2} = c_{1}\alpha^{2} + 2 c_{2}\alpha \beta + c_{3} \beta^{2}\tag{2}NEWLINE\]NEWLINE becomes a Douglas space taking (1) and (2) in turn.