Geometry & Topology Seminar

Jesse Madnick, McMaster University

"Nearly-Kahler 6-Manifolds of Cohomogeneity-Two"

Nearly-Kahler 6-manifolds form a distinguished class of Einstein 6-manifolds which are intimately related to G2-holonomy metrics and real Killing spinors.  At present, the only known compact, simply-connected examples are homogeneous or cohomogeneity-one.  In this talk, we set the foundations for the study of cohomogeneity-two examples.  In particular, we show that the acting Lie group must be a finite quotient of SU(2) x U(1), and prove that such nearly-Kahler metrics exist locally in abundance.  Time permitting, we'll indicate some directions for the construction of compact examples.

MC 5403