September 10, 2019
TITLE: Toric nearly Kähler 6-manifolds
ABSTRACT: Nearly Kähler manifolds are a particular class of almost Hermitian manifolds in the Gray-Hervella classification, but for several reasons they are mostly relevant in dimension 6, where (normalized, strict) nearly Kähler 6-manifolds can be characterized by the fact that their metric cone has holonomy contained in . In this talk, based on a joint work with P.-A. Nagy, I will show that strict nearly Kähler 6-manifolds admitting effective actions by automorphisms are characterized in the neigbourhood of each point by a function on satisfying a certain Monge–Ampère-type equation.