Toric extremal Kähler-Ricci solitons are Kähler-Einstein

Complex Manifolds

Calamai Simone¹  Petrecca David² 

[1] Dip. di Matematica e Informatica “U. Dini” - Università di Firenze, Viale Morgagni 67A, Firenze, Italy;Institut für Differentialgeometrie - Leibniz Universität Hannover, Welfengarten 1, Hanover, Germany;

关键词: extremal kähler metrics;    kähler-ricci solitons;    einstein manifolds;    toric manifolds;    53c25;    53c55;    58d19;   

DOI  :  10.1515/coma-2017-0012

来源: DOAJ

【 摘 要 】

In this short note, we prove that a Calabi extremal Kähler-Ricci soliton on a compact toric Kähler manifold is Einstein. This settles for the class of toric manifolds a general problem stated by the authors that they solved only under some curvature assumptions.

【 授权许可】

Unknown