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.

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

References in corpus (1)

• Kahler geometry on toric manifolds, and some other manifolds with large symmetry