Local solvability of the Poisson equation for closed G₂-structures

2023/05/26 by Timothy Buttsworth, Buttsworth, Timothy, Artem Pulemotov +1 · 1 citation
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.2305.17257

Abstract

We prove local solvability of the Poisson equation with a positive or negative right-hand side for closed G₂-structures.

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• G₂-Poisson equation on homogeneous spheres

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