TY - ELEC
AU - Gavin Ball
PY - 2019
TI - Quadratic closed $G_2$-structures
LA - eng
M3 - Moving Image
AB - I will talk about a special class of closed $G_2$-structures, those satisfying the `quadratic' condition. This is a second order PDE system first written down by Bryant that can be interpreted as a condition on the Ricci curvature of the induced metric, that includes the extremally Ricci-pinched (ERP) condition as a special case. I will talk about various constructions of quadratic closed $G_2$-structures, including the first examples of ERP closed $G_2$-structures that are not locally homogeneous and the first examples of quadratic closed $G_2$-structures that are not ERP. I will discuss the relationship with the Laplace flow, and give new examples of Laplace solitons.
N2 - I will talk about a special class of closed $G_2$-structures, those satisfying the `quadratic' condition. This is a second order PDE system first written down by Bryant that can be interpreted as a condition on the Ricci curvature of the induced metric, that includes the extremally Ricci-pinched (ERP) condition as a special case. I will talk about various constructions of quadratic closed $G_2$-structures, including the first examples of ERP closed $G_2$-structures that are not locally homogeneous and the first examples of quadratic closed $G_2$-structures that are not ERP. I will discuss the relationship with the Laplace flow, and give new examples of Laplace solitons.
UR - https://open.library.ubc.ca/collections/48630/items/1.0385123
ER - End of Reference