Toric Nearly K\"ahler manifolds

Andrei Moroianu; Paul-Andi Nagy

doi:10.1007/s10455-019-09648-x

Toric Nearly K\"ahler manifolds

Differential Geometry 2019-10-15 v3

Authors: Andrei Moroianu , Paul-Andi Nagy

View on arXiv ↗ PDF ↗ DOI ↗

Abstract

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.

Keywords

kähler manifolds torus actions on manifolds manifolds

Cite

@article{arxiv.1803.02306,
  title  = {Toric Nearly K\"ahler manifolds},
  author = {Andrei Moroianu and Paul-Andi Nagy},
  journal= {arXiv preprint arXiv:1803.02306},
  year   = {2019}
}

Comments

16 pages, a few wrong coefficients corrected in the example on pages 13-14

Related papers

View all related →