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MR1662269 58E30 (53C05 58D20 58E20 70G65)
Castrillón López, Marco; Ratiu, Tudor S.; Shkoller, Steve Reduction in principal fiber bundles: covariant Euler-Poincaré equations. Proc. Amer. Math. Soc. 128 (2000), no. 7, 2155–2164.
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