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Codifferential

Noun

Definitions

1.NounThe projected differential of an extensor field.
2.Nounthe 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 )} .

Synonyms

differentialcodifferentiationdifferential operatordifferential topologypartial differentialpseudodifferential operatorsubdifferentialexterior derivativediff eqdifferential geometrydiffeologydifferential calculus
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