1 citations · 2 across the 2 of their papers we have counts for
6 papers · 1 filter
Associative Submanifolds of Squashed 3-Sasakian Manifolds
Gavin Ball, Jesse Madnick
Every compact 3-Sasakian 7-manifold admits a canonical 2-parameter family of co-closed -structures for , as well as a foliation by -asso…
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…
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…
The Mean Curvature of First-Order Submanifolds in Exceptional Geometries with Torsion
Gavin Ball, Jesse Madnick
We derive formulas for the mean curvature of associative 3-folds, coassociative 4-folds, and Cayley 4-folds in the general case where the ambient space has intrinsic torsion. Conse…
The Mean Curvature of Special Lagrangian 3-folds in SU(3)-Structures with Torsion
Gavin Ball, Jesse Madnick
We derive formulas for the mean curvature of special Lagrangian 3-folds in the general case where the ambient 6-manifold has intrinsic torsion. Consequently, we are able to charact…