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Symmetry and bifurcations of momentum mappings. (English) Zbl 0486.58008

MSC:
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
57R70 Critical points and critical submanifolds in differential topology
83C40 Gravitational energy and conservation laws; groups of motions
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics
81T08 Constructive quantum field theory
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