codifferential English

Meaning codifferential meaning

What does codifferential mean?

codifferential noun

— (maths) 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: (\alpha, \beta) = \int_M \alpha \wedge \star \beta, so that (\alpha, d \beta) = (\delta \alpha, \beta) .