Toric extremal Kaehler-Ricci solitons are Kaehler-Einstein

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.

arXiv comment4 pages. Some changes in the references, modified introduction and misprints corrected. Comments are welcome

References in corpus (2)

• Kahler geometry on toric manifolds, and some other manifolds with large symmetry
• On Calabi extremal Kaehler-Ricci solitons