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searching for Hodge star operator 4 found (138 total)

Hitchin functional (1,484 words) [view diff] exact match in snippet view article find links to article

} where Ω {\displaystyle \Omega } is a 3-form and * denotes the Hodge star operator. The Hitchin functional is analogous for six-manifold to the Yang-Mills

Duality (mathematics) (6,694 words) [view diff] exact match in snippet view article

of the exterior algebra. For an n-dimensional vector space, the Hodge star operator maps k-forms to (n − k)-forms. This can be used to formulate Maxwell's

Atiyah–Singer index theorem (7,553 words) [view diff] exact match in snippet view article find links to article

on k-forms as i k ( k − 1 ) {\displaystyle i^{k(k-1)}} times the Hodge star operator. The operator D is the Hodge Laplacian D ≡ Δ := ( d + d ∗ ) 2 {\displaystyle

Cross product (11,565 words) [view diff] exact match in snippet view article find links to article

interpreted as the exterior product in three dimensions by using the Hodge star operator to map 2-vectors to vectors. The Hodge dual of the exterior product