Global properties of toric nearly Kähler manifolds

2020/02/11 by Kael Dixon, Dixon, Kael
Mathematics · #53C26 #53D20 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C26 #msc:53D20

paper · pdf · doi:10.48550/arxiv.2002.04534

17 pages

arxiv created 2020/02/11 · arxiv updated 2020/02/12

Abstract

We study toric nearly Kähler manifolds, extending the work of Moroianu and Nagy. We give a description of the global geometry using multi-moment maps. We then investigate polynomial and radial solutions to the toric nearly Kähler equation.

Related

• The Kähler geometry of toric manifolds
• Kahler geometry on toric manifolds, and some other manifolds with large symmetry
• A note on extremal toric almost Kähler metrics
• Kahler geometry of toric varieties and extremal metrics
• KÄHLER GEOMETRY OF TORIC VARIETIES AND EXTREMAL METRICS