Cartan lemma

Let V be a vector space (typically V=TpM). Given linearly independent elements v1,,vpV and provided that w1,,wp are such that

v1w1++vpwp=0

in ΛV then there exist scalars hij=hji such that

wi=j=1phijvj

Do not confuse with Cartan formula.

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Author of the notes: Antonio J. Pan-Collantes

antonio.pan@uca.es


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