codifferential

== English == === Etymology === From co- + differential. === Noun === codifferential (plural codifferentials) (mathematics) The projected differential of an extensor field. (differential geometry) the formal adjoint of the exterior derivative; a differential-geometric version of the divergence operator; the exterior derivative sandwiched between two Hodge star operators with some additional factor(s) that take(s) care of the sign; the Hermitian conjugate of the exterior derivative under the inner product for k-form fields over some manifold M: ( α , β ) = ∫ M α ∧ ⋆ β {\displaystyle (\alpha ,\beta )=\int _{M}\alpha \wedge \star \beta } , so that ( α , d β ) = ( δ α , β ) {\displaystyle (\alpha ,d\beta )=(\delta \alpha ,\beta )} . === Further reading === Hodge star operator on Wikipedia.Wikipedia Weitzenböck identity on Wikipedia.Wikipedia