 Interior contraction of the Riemannian volume form

ID: interior-contraction-of-the-riemannian-volume-form

X = \sum_{i} f_{i} E_{i}

with dual coframe

ω_{i}

ω_{1} \land \dots \land ω_{n}

. Inserting

E_{i}

in its first slot omits

ω_{i}

and produces sign

(- 1)^{i - 1}

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