Definition 3.6 (Green’s current) . [04ZL]

Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.

Complete original source context · Original author HTML

Definition 3.6 (Green’s current).

Suppose $P$ is of co-dimension 3 in $Q$ . A Green’s current $G_{P}$ for $P$ in $Q$ is a locally integrable $3$ -form which solves the following current equation on $Q$

(3.42)

\Delta G_{P}=2\pi\cdot\delta_{P}.