Momentum construction on Ricci-flat Kähler cones
Futaki, Akito
Tohoku Math. J. (2), Tome 63 (2011) no. 1, p. 21-40 / Harvested from Project Euclid
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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.
Publié le : 2011-05-15
Classification:  Calabi-ansatz,  toric Fano manifold,  Sasaki-Einstein manifold,  53C55,  53C21,  55N91 
@article{1303219934,
     author = {Futaki, Akito},
     title = {Momentum construction on Ricci-flat K\"ahler cones},
     journal = {Tohoku Math. J. (2)},
     volume = {63},
     number = {1},
     year = {2011},
     pages = { 21-40},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1303219934}
}

Futaki, Akito. Momentum construction on Ricci-flat Kähler cones. Tohoku Math. J. (2), Tome 63 (2011) no. 1, pp.  21-40. http://gdmltest.u-ga.fr/item/1303219934/