de León, Manuel; Rodrigues, Paulo R. \(n^ k\) almost-tangent structures and the Hamiltonization of higher- order field theories. (English) Zbl 0689.53018 J. Math. Phys. 30, No. 6, 1351-1353 (1989). Summary: In this paper a new interpretation of the Hamiltonization of higher-order Lagrangian field theories is given, introducing a new class of tensor fields of type (1,1) that extends almost-tangent structure to the tangent bundle of \(n^ k\) velocities. Cited in 1 ReviewCited in 3 Documents MSC: 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C80 Applications of global differential geometry to the sciences Keywords:Hamiltonization; higher-order Lagrangian field theories; tensor fields; almost-tangent structure PDFBibTeX XMLCite \textit{M. de León} and \textit{P. R. Rodrigues}, J. Math. Phys. 30, No. 6, 1351--1353 (1989; Zbl 0689.53018) Full Text: DOI References: [1] DOI: 10.1007/BF00402145 · Zbl 0637.53056 [2] Clark R., C. R. Acad. Sci. Paris 251 pp 627– (1960) [3] Eliopoulos H., C. R. Acad. Sci. Paris 255 pp 1563– (1962) [4] DOI: 10.5802/aif.120 · Zbl 0281.49026 [5] DOI: 10.1103/PhysRev.62.68 [6] DOI: 10.1103/PhysRev.65.228 [7] DOI: 10.1103/RevModPhys.20.40 [8] DOI: 10.1088/0305-4470/20/2/019 · Zbl 0652.58002 [9] DOI: 10.1007/BF00405859 · Zbl 0514.58013 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.