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\(n^ k\) almost-tangent structures and the Hamiltonization of higher- order field theories. (English) Zbl 0689.53018

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.

MSC:

53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C80 Applications of global differential geometry to the sciences
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[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
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