Hodge star operator (Q3497)

linear map from p-forms on an n-dimensional manifold to (n−p)-forms

Hodge dual
Hodge star

Language	Label	Description	Also known as
English	Hodge star operator	linear map from p-forms on an n-dimensional manifold to (n−p)-forms	Hodge dual Hodge star

Statements

subclass of

linear map

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defining formula

(\star \alpha )_{i_{p+1}\dotso i_{n}}={\frac {1}{p!}}{\sqrt {|\det g|}}\epsilon _{i_{1}\dotso i_{n}}g^{i_{1}j_{1}}\dotsm g^{i_{p}j_{p}}\alpha _{j_{1}\dotso j_{p}}

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named after

W. V. D. Hodge

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studied in

differential geometry

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instance of

mathematical concept

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Identifiers

Freebase ID

/m/01t5dq

1 reference

28 October 2013

Hodge star operator

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MathWorld ID

HodgeStar

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Microsoft Academic ID

114417882

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OpenAlex ID

C114417882

1 reference

26 January 2022

https://docs.openalex.org/download-snapshot/snapshot-data-format

Wikidata QID

Q1622692

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Hodge star operator (Q3497)

Statements

Identifiers

Sitelinks

mathematics(0 entries)