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On the Lie algebra of vertical prolongation operators. (English) Zbl 0518.58001
MSC:
58A05 Differentiable manifolds, foundations
17B40 Automorphisms, derivations, other operators for Lie algebras and super algebras
55R10 Fiber bundles in algebraic topology
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References:
[1] H. Goldschmidt S. Sternberg: The Hamilton-Cartan formalism in the calculus of variations. Ann. Inst. Fourier (Grenoble), 23 (1973), 203 - 267. · Zbl 0243.49011
[2] I. Kolář: Fundamental vector fields on associated fiber bundles. Čas. pro pěst. mat., 102 (1977), 411-425.
[3] I. Kolář: On the second tangent bundle and generalized Lie derivatives. to appear in Tensor.
[4] Y. Kosmann-Schwarzbach: Vector Fields and Generalized Vector Fields on Fibered Manifolds. Geometry and Differential Geometry, Proceedings, Lecture Notes in Mathematics 792 (1980), 307-355. · Zbl 0435.58024
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