Abstract
We construct gradient Kähler-Ricci solitons on Ricci-flat Kähler cone manifolds and on line bundles over toric Fano manifolds. Certain shrinking and expanding solitons are pasted together to form eternal solutions of the Ricci flow. The method we employ is the Calabi ansatz over Sasaki-Einstein manifolds, and the results generalize constructions of Cao and Feldman-Ilmanen- Knopf.
Citation
Akito Futaki. Mu-Tao Wang. "Constructing Kähler-Ricci Solitons from Sasaki-Einstein Manifolds." Asian J. Math. 15 (1) 33 - 52, March 2011.
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