: Mathematics: interior product

geometry > differential geometry > interior product

interior product

In mathematics, the interior product (also known as interior derivative, interior multiplication, inner multiplication, inner derivative, insertion operator, or inner derivation) is a degree −1 (anti)derivation on the exterior algebra of differential forms on a smooth manifold. The interior product, named in opposition to the exterior product, should not be confused with an inner product. The interior product ${\\displaystyle \\iota _{X}\\omega }$ is sometimes written as ${\\displaystyle X\\mathbin {\\lrcorner } \\omega .}$

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