22 citations · 55 across the 11 of their papers we have counts for
11 papers
Geometric invariants and the Monge-Ampere equation in Kähler geometry
Bin Guo, Duong H. Phong
This is a contribution to the special issue of Surveys in Differential Geometry celebrating the 75th birthday of Shing-Tung Yau. The bulk of the paper is devoted to a survey of som…
Diameter estimates in Kähler geometry II: removing the small degeneracy assumption
Bin Guo, Duong H. Phong, Jian Song +1
In this short note, we remove the small degeneracy assumption in our earlier works [10, 11]. This is achieved by a technical improvement of Corollary 5.1 in [10]. As a consequence,…
Diameter estimates in Kähler geometry
Bin Guo, Duong H. Phong, Jian Song +1
Diameter estimates for Kähler metrics are established which require only an entropy bound and no lower bound on the Ricci curvature. The proof builds on recent PDE techniques for $…
On estimates for Monge-Ampère and Hessian equations on nef classes
Bin Guo, Duong H. Phong, Freid Tong +1
The PDE approach developed earlier by the first three authors for estimates for fully non-linear equations on Kähler manifolds is shown to apply as well to Monge-Ampère…
The Ricci flow on the sphere with marked points
D. H. Phong, Jian Song, Jacob Sturm +1
The Ricci flow on the 2-sphere with marked points is shown to converge in all three stable, semi-stable, and unstable cases. In the stable case, the flow was known to converge with…
On Pointwise Gradient Estimates for the Complex Monge-Ampere Equation
D. H. Phong, Jacob Sturm
In this note, a gradient estimate for the complex Monge-Ampere equation is established. It differs from previous estimates of Yau, Hanani, Blocki, P. Guan, B. Guan - Q. Li in that…