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Reduction of the structure group

In differential geometry, a G-structure on an n{\displaystyle n}-manifoldM{\displaystyle M}, for a given structure groupG{\displaystyle G}, is a principalG{\displaystyle G}-subbundle of the tangent frame bundleFM{\displaystyle {\text{F}}M} (or GL⁡(M){\displaystyle \operatorname {GL} (M)}) of M{\displaystyle M}.

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