Local solvability of the Poisson equation for closed $$G_2$$-structures
Abstract We prove local solvability of the Poisson equation with definite right-hand side for closed $$G_2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>G</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math> -structures.
Authors
- Artem Pulemotov (ORCID: https://orcid.org/0000-0003-0647-8630)
- Timothy Buttsworth (ORCID: https://orcid.org/0000-0003-0934-4988)
Institutions
- UNSW Sydney (AU)
Publication Details
- Journal
- Calculus of Variations and Partial Differential Equations
- Published
- 2025-02-01
- DOI
- https://doi.org/10.1007/s00526-024-02889-0
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Australian Research Council