Toric extremal Kähler-Ricci solitons are Kähler-Einstein
Simone Calamai ; David Petrecca
Complex Manifolds, Tome 4 (2017), p. 179-182 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2017-01-01
EUDML-ID : urn:eudml:doc:288390 
@article{bwmeta1.element.doi-10_1515_coma-2017-0012,
     author = {Simone Calamai and David Petrecca},
     title = {Toric extremal K\"ahler-Ricci solitons are K\"ahler-Einstein},
     journal = {Complex Manifolds},
     volume = {4},
     year = {2017},
     pages = {179-182},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_coma-2017-0012}
}

Simone Calamai; David Petrecca. Toric extremal Kähler-Ricci solitons are Kähler-Einstein. Complex Manifolds, Tome 4 (2017) pp. 179-182. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_coma-2017-0012/