Asian Journal of Mathematics
- Asian J. Math.
- Volume 15, Number 1 (2011), 33-52.
Constructing Kähler-Ricci Solitons from Sasaki-Einstein Manifolds
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.
Asian J. Math., Volume 15, Number 1 (2011), 33-52.
First available in Project Euclid: 28 May 2011
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 53C55: Hermitian and Kählerian manifolds [See also 32Cxx]
Secondary: 53C21: Methods of Riemannian geometry, including PDE methods; curvature restrictions [See also 58J60] 55N91: Equivariant homology and cohomology [See also 19L47]
Futaki, Akito; Wang, Mu-Tao. Constructing Kähler-Ricci Solitons from Sasaki-Einstein Manifolds. Asian J. Math. 15 (2011), no. 1, 33--52. https://projecteuclid.org/euclid.ajm/1306616063