How fat is a fat bundle

DOI10.1007/BF00419591zbMath0646.53027MaRDI QIDQ1103884

Eugene Lerman

Publication date: 1988

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

zbMATH Keywords

coadjoint orbitssymplectic structuremoment mapconnectionWeyl chambersprincipal G-bundleHamiltonian G-space

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Connections (general theory) (53C05)

Related Items (9)

Singular extremals on Lie groups ⋮ On nondegenerate coupling forms ⋮ On symplectically fat twistor bundles ⋮ New constructions of symplectically fat fiber bundles ⋮ On formality of Sasakian manifolds ⋮ Sternberg construction and reduction ⋮ Coupling forms and Hamiltonian FB-groupoids ⋮ Path planning on compact Lie groups using a homotopy method. ⋮ On simply connected \(K\)-contact non-Sasakian manifolds

Cites Work

• Multiplicity-free spaces
• Canonical formulations of a classical particle in a Yang-Mills field and Wong's equations
• Fat bundles and symplectic manifolds
• A universal phase space for particles in Yang-Mills fields
• Minimal coupling and the symplectic mechanics of a classical particle in the presence of a Yang-Mills field

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