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A geometric theory of ordinary first order variational problems in fibered manifolds. II: Invariance. (English) Zbl 0312.58003


MSC:

58A20 Jets in global analysis
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
35A15 Variational methods applied to PDEs
49Q99 Manifolds and measure-geometric topics
57S20 Noncompact Lie groups of transformations
58A15 Exterior differential systems (Cartan theory)
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References:

[1] Krupka, D, A geometric theory of ordinary first order variational problems in fibered manifolds. I, J. math. anal. appl., 49, (1975), to appear · Zbl 0312.58002
[2] Trautman, A, Invariance of Lagrangian systems, (), 85-99
[3] Trautman, A, Noether equations and conservation laws, Comm. math. phys., 6, 248-261, (1967) · Zbl 0172.27803
[4] Krupka, D, Lagrange theory in fibered manifolds, Rep. math. phys., 2, 121-133, (1971) · Zbl 0219.49022
[5] Krupka, D, On generalized invariant transformations, Rep. math. phys., 5, 353-358, (1974)
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