Über reell-unitäre Finsler-Otsukische Räume. (On real-unitary Finsler-Otsuki spaces) (Q1073358)

Finsler-Otsuki spaces \(F-O_ n\) were introduced by the author in Tensor, New Ser. 37, 121-129 (1982; Zbl 0495.53020). An \(F-O_ n\) is called real-unitary and denoted by \(F-O^*_ n\) if \(P^ k_ j P^ j_ i=\delta^ k_ i\). In this paper \(F-O^*_ n\) spaces are characterized, higher derivatives of vector fields \(V^ k\) satisfying \(P^ k_ j V^ j=\tau V^ k\) (i.e. of certain eigenvectors) are investigated, and properties of \(F-O^*_ 2\) spaces are studied.