Local solvability of the Poisson equation for closed $G_2$-structures

Author:

Timothy Buttsworth, Artem Pulemotov

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG)

journal:

date:

2023-05-25 16:00:00

Abstract

We prove local solvability of the Poisson equation with a positive or negative right-hand side for closed $G_2$-structures.