De León, M.; Oubiña, J. A.; Salgado, M. Integrable almost s-tangent structures. (English) Zbl 0814.53028 Rend. Mat. Appl., VII. Ser. 14, No. 4, 609-623 (1994). The prototype of an almost \(s\)-tangent structure is the space of all 1- jets from reals into a manifold \(M\). The authors study an arbitrary almost \(s\)-tangent structure from the viewpoint of the general theory of \(G\)-structures. They deduce an integrability condition of such a structure in terms of the Nijenhuis tensor. Then they present a complete geometric characterization of all almost \(s\)-tangent structures which are globally equivalent to a stable tangent bundle. Reviewer: I.Kolář (Brno) Cited in 2 Documents MSC: 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C10 \(G\)-structures 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems Keywords:almost \(s\)-tangent structure; \(G\)-structures; Nijenhuis tensor; stable tangent bundle PDFBibTeX XMLCite \textit{M. De León} et al., Rend. Mat. Appl., VII. Ser. 14, No. 4, 609--623 (1994; Zbl 0814.53028)