Differential Geometry Working Seminar

Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

"Nearly Kahler 6-manifolds have SU(3)-structures"

If (M, g, J) is an almost Hermitian manifold, then it is called nearly Kahler if the covariant derivative of J is skew in its two T^* M arguments. Something special happens in dimension 6, where it turns out that a (strictly) nearly Kahler structure is equivalent to an SU(3)-structure satisfying certain conditions. In particular, we must have c_1 (M, J) = 0. I will discuss a relatively recent paper by Giovanni Russo (http://arxiv.org/abs/2002.04673v3) which explains this equivalence in detail.

MC 5403