Abstract
We extend Calabi ansatz over Kähler-Einstein manifolds to Sasaki-Einstein manifolds. As an application we prove the existence of a complete scalar-flat Kähler metric on Kähler cone manifolds over Sasaki-Einstein manifolds. n particular there exists a complete scalar-flat Kähler metric on the toric Kähler cone manifold constructed from a toric diagram with a constant height.
Citation
Akito Futaki. "Momentum construction on Ricci-flat Kähler cones." Tohoku Math. J. (2) 63 (1) 21 - 40, 2011. https://doi.org/10.2748/tmj/1303219934
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