Transverse group actions on bundles

DOI10.1016/S0166-8641(01)00211-5zbMath1020.58011OpenAlexW2016077514MaRDI QIDQ1862023

Ian M. Anderson, Mark E. Fels

Publication date: 10 March 2003

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(01)00211-5

zbMATH Keywords

invariant sectionregular group actionkinematic bundletransverse group action

Mathematics Subject Classification ID

Equivariant fiber spaces and bundles in algebraic topology (55R91) Group actions and symmetry properties (58D19) Topology of vector bundles and fiber bundles (57R22) Groups as automorphisms of other structures (22F50)

Related Items (1)

Dimensional reduction of invariant fields and differential operators. I: Reduction of invariant fields

Cites Work

• The principle of symmetric criticality
• On relative invariants
• Group invariant solutions without transversality
• Seminar on Transformation Groups. (AM-46)
• Group actions on principal bundles and invariance conditions for gauge fields
• Symmetry reduction of variational bicomplexes and the principle of symmetric criticality
• A global formulation of the Lie theory of transformation groups
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
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