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.
Toric extremal Kähler-Ricci solitons are Kähler-Einstein / Simone, Calamai; David, Petrecca. - In: COMPLEX MANIFOLDS. - ISSN 2300-7443. - STAMPA. - 4:(2017), pp. 179-182. [10.1515/coma-2017-0012]
Toric extremal Kähler-Ricci solitons are Kähler-Einstein
Simone Calamai;David Petrecca
2017
Abstract
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.
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