10 citations · 19 across the 4 of their papers we have counts for
4 papers
On stability and the convergence of the Kähler-Ricci flow
D. H. Phong, Jacob Sturm
Assuming uniform bounds for the curvature, the exponential convergence of the Kähler-Ricci flow is established under two conditions which are a form of stability: the Mabuchi energ…
On the Kähler-Ricci flow on complex surfaces
D. H. Phong, Jacob Sturm
It is observed that for complex surfaces, the positivity of the Ricci curvature is preserved by the Kähler-Ricci flow, under the additional assumption that the sum of the two lowes…
The Futaki invariant and the Mabuchi energy of a complete intersection
D. H. Phong, Jacob Sturm
We study the Futaki invariant and the Mabuchi K-energy of a Kähler manifold using the Deligne pairing technique developed in earlier papers. We first prove a rather simple char…
On asymptotics for the Mabuchi energy functional
D. H. Phong, Jacob Sturm
If is a projective manifold in , then one can associate to each one parameter subgroup of the Mumford invariant. The manifold is Chow-Mumford stable…