Existence of Gradient Kahler-Ricci Solitons
By Huaihuo Cao. 2012
183 citations recorded by the source corpus.
This is the original paper appeared in the book "Elliptic and Parabolic Methods in Geometry (Minneapolis, MN,1994), A K Peters, Wellesley, MA, (1996)" (p.1-16), except with a few minor modifications as described at the end of the paper (on p.14). Due to frequent requests for the article, we decided to post it on the arXiv.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/09b79de3d212b7435bb19a949246ca1752f97feb
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- Bach-flat gradient steady Ricci solitons (2011, methodology): “In the Kähler case, the first author [5] constructed a complete gradient steady Kähler–Ricci soliton on Cm , for m ≥ 2, with positive sectional curvature and U (m) symmetry.”
- On second variation of Perelman’s Ricci shrinker entropy (2010, methodology): “Specifically in dimension n = 4, Koiso [13] and the first author [1] independently constructed a gradient Kähler-Ricci shrinking soliton on CP (2)#(−CP (2)), and Wang-Zhu [16] on CP (2)#(−2CP (2)), while in the noncompact case Feldman-Ilmanen-Knopf [8] constructed the U(2)-invariant gradient shrinki”
- Lower diameter bounds for compact shrinking Ricci solitons (2010, methodology): “Examples of nontrivial compact Kähler-Ricci solitons have been constructed by Koiso [9], Cao [1] and Wang and Zhu [15].”
- Real Monge-Ampere equations and Kahler-Ricci solitons on toric log Fano varieties (2012, background): “Similarly, taking X to be the total space of the bundle P(O(k) ⊕ O(0)) → Pn−1 and ∆0 the “section at infinity” should give the complete Kähler-Ricci soliton in the total space of O(k) → Pn−1 found in [21].”