codifferential

Meaning

Noun

• The projected differential of an extensor field.
• 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: $(\backslash alpha,\; \backslash beta)\; =\; \backslash int\_M\; \backslash alpha\; \backslash wedge\; \backslash star\; \backslash beta$, so that $(\backslash alpha,\; d\; \backslash beta)\; =\; (\backslash delta\; \backslash alpha,\; \backslash beta)$.

Origin

• co- + differential