codifferential

Noun

 * 1)  The projected differential of an extensor field.
 * 2)  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: $$(\alpha, \beta) = \int_M \alpha \wedge \star \beta$$, so that $$(\alpha, d \beta) = (\delta \alpha, \beta) $$.
 * 1)  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: $$(\alpha, \beta) = \int_M \alpha \wedge \star \beta$$, so that $$(\alpha, d \beta) = (\delta \alpha, \beta) $$.