10 citations · 15 across the 11 of their papers we have counts for
4 papers · 1 filter
Quadratic closed G2-structures
Gavin Ball
This article studies closed G2-structures satisfying the quadratic condition, a second-order PDE system introduced by Bryant involving a parameter For certain special values o…
The DT-instanton equation on almost Hermitian 6-manifolds
Gavin Ball, Goncalo Oliveira
This article investigates a set of partial differential equations, the DT-instanton equations, whose solutions can be regarded as a generalization of the notion of Hermitian-Yang-M…
Associative Submanifolds of the Berger Space
Gavin Ball, Jesse Madnick
We study associative submanifolds of the Berger space SO(5)/SO(3) endowed with its homogeneous nearly-parallel G2-structure. We focus on two geometrically interesting classes: the…
Closed G2-structures with conformally flat metric
Gavin Ball
This article classifies closed G2-structures such that the induced metric is conformally flat. It is shown that any closed G2-structure with conformally flat metric is locally equi…