Toric Nearly Kähler manifolds

Andrei Moroianu, Paul-Andi Nagy

Published 2018-03-06Version 1

We show that 6-dimensional strict nearly K\"ahler manifolds admitting effective $\mathbb{T}^3$ actions by automorphisms are completely characterized in the neigbourhood of each point by a function on $\mathbb{R}^3$ satisfying a certain Monge-Amp\`ere type equation.