103 citations · 114 across the 5 of their papers we have counts for
16 papers
The compactness result for Kähler Ricci solitons
Huai-Dong Cao, Natasa Sesum
In this paper we prove the compactness result for compact Kähler Ricci gradient shrinking solitons. If is a sequence of Kähler Ricci solitons of real dimension $n \ge 4…
Gaussian densities and stability for some Ricci solitons
Huai-Dong Cao, Richard S. Hamilton, Tom Ilmanen
In this announcement, we exhibit the second variation of Perelman's and functionals for the Ricci flow, and investigate the linear stability of examples. We also define the…
On dimension reduction in the Kähler-Ricci flow
Huai-Dong Cao
We consider dimension reduction for solutions of the Kähler-Ricci flow with nonegative bisectional curvature. When the complex dimension , we prove an optimal dimension reduct…
Ricci flow on compact Kähler manifolds of positive bisectional curvature
Huai-Dong Cao, Bing-Long Chen, Xi-Ping Zhu
We announce a new proof of the uniform estimate on the curvature of solutions to the Ricci flow on a compact Kähler manifold with positive bisectional curvature. In contrast…
Matrix Li-Yau-Hamilton estimates for the heat equation on Kaehler manifolds
Huai-dong Cao, Lei Ni
We proved a matrix Li-Yau-Hamilton type gradient estimates for the positive solutin of the heat equation on complete Kaehler manifolds with nonnegative bisectional curvature. As a…
DGBV Algebras and Mirror Symmetry
Huai-Dong Cao, Jian Zhou
We describe some recent development on the theory of formal Frobenius manifolds via a construction from differential Gerstenhaber-Batalin-Vilkovisk (DGBV) algebras and formulate a…