Sarlet, W.; Mestdag, T. Aspects of time-dependent second-order differential equations: Berwald-type connections. (English) Zbl 1037.53009 Kozma, L. (ed.) et al., Steps in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 25–30, 2000. Debrecen: Univ. Debrecen, Institute of Mathematics and Informatics. 283-293 (2001). The paper is a survey of an elaborate study on Berwald-type connections [T. Mestdag and W. Sarlet, Houston J. Math. 27, 763–797 (2001; Zbl 1003.58005)]. It explains the general framework for understanding the subtle differences between several related SODE-connections (connections associated to systems of second-order equations) and for describing accurately the significance of the “Berwald-type” notion in a time-dependent context.For the entire collection see [Zbl 0966.00031]. Reviewer: Vladimir Balan (Bucureşti) Cited in 2 Documents MSC: 53B40 Local differential geometry of Finsler spaces and generalizations (areal metrics) 53C05 Connections (general theory) 34A26 Geometric methods in ordinary differential equations 58A20 Jets in global analysis Keywords:SODE; Finsler space; Berwald-type connection; jet bundle; Finsler pair; Finsler-type connection Citations:Zbl 1003.58005 PDFBibTeX XMLCite \textit{W. Sarlet} and \textit{T. Mestdag}, in: Steps in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 25--30, 2000. Debrecen: Univ. Debrecen, Institute of Mathematics and Informatics. 283--293 (2001; Zbl 1037.53009) Full Text: EMIS