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Euler–Poincaré Reduction on Principal Bundles

✍ Scribed by M. Castrillón López; P. L. García Pérez; T. S. Ratiu


Book ID
110320922
Publisher
Springer
Year
2001
Tongue
English
Weight
156 KB
Volume
58
Category
Article
ISSN
0377-9017

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Group actions on principal bundles and d
✍ J. Harnad; S. Shnider; J. Tafel 📂 Article 📅 1980 🏛 Springer 🌐 English ⚖ 278 KB

Using the invariant geometrical interpretation of gauge and Higgs fields, a simple derivation is given of the dimensional reduction procedure. The underlying assumption with regard to the Riemannian structure, group orbits and invariant connection are clarified and the critical points of the Higgs p