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searching for Lie bracket of vector fields 2 found (35 total)

alternate case: lie bracket of vector fields

Ehresmann connection (3,155 words) [view diff] exact match in snippet view article find links to article

fields on E, because it is not (in general) closed under the Lie bracket of vector fields. This failure of closure under Lie bracket is measured by the

Lie algebra extension (17,708 words) [view diff] exact match in snippet view article find links to article

X=f(\varphi ){\frac {d}{d\varphi }},} and the Lie bracket is the Lie bracket of vector fields, on S1 simply given by [ X , Y ] = [ f d d φ , g d d φ ] = (