Yano-Ledger connection and induced connection on vector bundles
type: Item
instance of: scholarly article
title: Yano-Ledger connection and induced connection on vector bundles
zbMATH Open document ID: 0768.53009
DOI: 10.1007/BF00050904
published in: Acta Mathematica Hungarica
publication date: 1993-04-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 53C05
Mathematics Subject Classification ID: 53C60
zbMATH DE Number: 148687
zbMATH Keywords: linear connection
zbMATH Keywords: Finsler connection
author: Zoltán Kovács
author: Lajos Tamássy
reviewed by: Valentin Boju
MaRDI profile type: Publication
cites work: Q3213906
cites work: On the Geometry of the Tangent Bundle.
cites work: Sur la géométrie différentielle des fibrés vectoriels
cites work: Connections, metrics and almost complex structures of tangent bundles
cites work: Q5186339
cites work: Q3331861
cites work: On the curvature and integrability of horizontal maps
cites work: Linear connections and quasi-connections on a differentiable manifold
cites work: Linear Connections on Tangent Bundles
description: scientific article; zbMATH DE number 148687