Conformally Berwald and conformally flat Finsler spaces (Q2714389)

The author studies conformally flat Finsler spaces using ideas similar to that of \textit{S. Kikuchi} [Tensor, New Ser. 55, 97-100 (1994; Zbl 0816.53014)]. He introduces a conformally invariant Finsler connection for Finsler spaces having a tensor which satisfies conditions weaker than Kikuchi's, and the condition for a Finsler space to be conformal to a Berwald space or a local Minkowski space is stated in terms of this connection. Finally the author presents two interesting problems: NEWLINENEWLINENEWLINE``Are there two Berwald spaces which are conformal to each other?''NEWLINENEWLINENEWLINE``Are there two local Minkowski spaces which are conformal to each other?''.