8 papers
Singularity Models of Finite-Time Kähler-Ricci Flows
Frederick Tsz-Ho Fong, Hung Tran
We study the singularity type and models of the Kähler--Ricci flow on compact manifolds constructed from the 1-parameter foliation of a circle-bundle over a product of Kähler--Eins…
Ricci Flow on CP1-bundles over a Product of Kähler-Einstein Manifolds
Frederick Tsz-Ho Fong, Hung Tran
In this paper, we study the Ricci flow on CP1-bundles over a product of Kähler-Einstein manifolds whose initial metric is constructed by the ansatz used in works by M. Wang et. al.…
A Spinorial Perelman's Functional: Critical Points and Gradient Flow
Tsz-Kiu Aaron Chow, Frederick Tsz-Ho Fong
In this article, we introduce an energy functional on closed Riemannian spin manifolds which unifies Perelman's W- and F-functionals, Baldauf-Ouzch's E-functional, and Dirchlet ene…
Uniqueness and Symmetry of Self-Similar Solutions of Curvature Flows in Warped Product Spaces
Frederick Tsz-Ho Fong
In this article, we establish some uniqueness and symmetry results of self-similar solutions to curvature flows by some homogeneous speed functions of principal curvatures in some…
Higher-Order Estimates of Long-Time Solutions to the Kähler-Ricci Flow
Frederick Tsz-Ho Fong, Man-Chun Lee
In this article, we study the higher-order regularity of the Kähler-Ricci flow on compact Kähler manifolds with semi-ample canonical line bundle. We proved, using a parabolic analo…
Local curvature estimates of long-time solutions to the Kähler-Ricci flow
Frederick Tsz-Ho Fong, Yashan Zhang
We study the local curvature estimates of long-time solutions to the normalized Kähler-Ricci flow on compact Kähler manifolds with semi-ample canonical line bundles. Using these es…