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

0 references

defining formula

(⋆ α)_{i_{p + 1} \dots i_{n}} = \frac{1}{p!} \sqrt{| \det g |} ϵ_{i_{1} \dots i_{n}} g^{i_{1} j_{1}} \dots g^{i_{p} j_{p}} α_{j_{1} \dots j_{p}}

0 references

named after

W. V. D. Hodge

0 references

studied in

differential geometry

0 references

instance of

mathematical concept

0 references

Identifiers

Freebase ID

/m/01t5dq

1 reference

28 October 2013

Hodge star operator

0 references

MathWorld ID

HodgeStar

0 references

Microsoft Academic ID

114417882

0 references

OpenAlex ID

C114417882

1 reference

26 January 2022

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

Wikidata QID

Q1622692

0 references

Hodge star operator (Q3497)

Statements

Identifiers

Sitelinks

mathematics(0 entries)