Yano-Ledger connection and induced connection on vector bundles (Q1206294)

Starting with a linear connection on \(\mathcal M\), \textit{K. Yano} and \textit{A. J. Ledger} [J. Lond. Math. Soc. 39, 495-500 (1964; Zbl 0126.383)] constructed a torsion-free linear connection on \(TM\). The authors realize the same, replacing \(TM\) by the total space \(E\) of a vector bundle \(V\) and replacing \(M\) by the base space \(B\) of \(V\). The resulting connection turns out to be an induced vector bundle Finsler connection in certain conditions. Finally the metrical Yano-Ledger connection on vector bundles is studied.