In mathematics, the **Hodge star operator** or **Hodge dual** is a significant linear map introduced in general by W. V. D. Hodge. It is defined on the exterior algebra of a finite-dimensional oriented inner product space.

Read more about Hodge Dual: Dimensionalities and Algebra, Extensions, Formal Definition of The Hodge Star of *k*-vectors, Explanation, Computation of The Hodge Star, Index Notation For The Star Operator, Examples, Inner Product of *k*-vectors, Duality, Hodge Star On Manifolds, Derivatives in Three Dimensions

### Other articles related to "hodge dual, hodge":

**Hodge Dual**- Derivatives in Three Dimensions

... on 1-forms that in components is the operator Applying the

**Hodge**star gives The final case prefaced and followed by, takes a 1-form to a 0-form (function) written out in components it is ... in terms of the exterior derivative and the

**Hodge**star ...

... More precisely, the

**Hodge dual**gives the isomorphism between axial vectors and bivectors, so each axial vector is associated with a bivector and vice-versa that is where ... as when written as determinants they are calculated in the same way so are related by the

**Hodge dual**Bivectors have a number of advantages over axial vectors ...

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