Symmetry and bifurcations of momentum mappings

DOI10.1007/BF02046759zbMath0486.58008OpenAlexW1987827294MaRDI QIDQ1164894

Jerrold E. Marsden, Judith M. Arms, Vincent E. Moncrief

Publication date: 1981

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02046759

zbMATH Keywords

symplectic space linearization stability space of solutions cone like singularity conserved quantity associated with a symmetry constraints in field theories gauge symmetric solution general relativistic space-times, compact in space, possessing space-like Killing fields inverse image of the momentum map near nonregular points set of Yang-Mills solutions structure of bifurcation points

Mathematics Subject Classification ID

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

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