Toric extremal Kaehler-Ricci solitons are Kaehler-Einstein
Differential Geometry
2017-09-06 v2
Abstract
In this short note, we prove that a Calabi extremal Kaehler-Ricci soliton on a compact toric Kaehler manifold is Einstein. This solves for the class of toric manifolds a general problem stated by the authors that they solved only under some curvature assumptions.
Keywords
Cite
@article{arxiv.1708.06256,
title = {Toric extremal Kaehler-Ricci solitons are Kaehler-Einstein},
author = {Simone Calamai and David Petrecca},
journal= {arXiv preprint arXiv:1708.06256},
year = {2017}
}
Comments
4 pages. Some changes in the references, modified introduction and misprints corrected. Comments are welcome