Geometry & Topology Seminar

Gavin Ball, Université du Québec à Montréal and Centre de recherches mathématiques

"Closed G2-structures inducing a conformally flat metric"

A G2-structure on a 7-manifold M is given by a 3-form of a specific algebraic type. Such a 3-form induces a Riemannian metric on M, and the question of how the geometry of this metric is related to the G2-structure is an interesting one. In this talk, I will discuss the classification of closed G2 structures such that the induced metric is conformally flat. It turns out that any such G2-structure must be locally equivalent to one of three explicit examples.

MC 5403