Differential Geometry Working Seminar

Amanda Petcu, University of Waterloo

Cohomogeneity one solitons of the hypersymplectic flow

Given a hypersymplectic manifold X^4, one can give a flow of hypersymplectic structures. In this talk, we let X^4 be R^4 with an SO(4) action, and the hypersymplectic triple depend on three different functions h_k that depend solely on the radial coordinate. We will examine how the triple evolves under the hypersymplectic flow and given this initial structure, determine all possible solitons of the flow.

MC 5403