10 citations · 25 across the 8 of their papers we have counts for
8 papers
On the biharmonic heat equation on complete Riemannian manifolds
Fei He
We study entire solutions of the biharmonic heat equation on complete Riemannian manifolds without boundary. We provide exponential decay estimates for the biharmonic heat kernel u…
On the uniqueness for the heat equation on complete Riemannian manifolds
Fei He, Man-Chun Lee
We prove some uniqueness result for solutions to the heat equation on Riemannian manifolds. In particular, we prove the uniqueness of solutions with , and improves t…
Regularity estimates for the gradient flow of a spinorial energy functional
Fei He, Changliang Wang
In this note, we establish certain regularity estimates for the spinor flow introduced and initially studied in \cite{AWW2016}. Consequently, we obtain that the norm of the second…
Weakly PIC1 manifolds with maximal volume growth
Fei He, Man-Chun Lee
In this article we use Ricci flow to show that complete PIC1 manifolds with maximal volume growth are diffeomorphic to . One of the key ingredients is local estimates…
Existence and applications of Ricci flows via pseudolocality
Fei He
We prove the short-time existence of Ricci flows on complete manifolds with scalar curvature bounded below uniformly, Ricci curvature bounded below by a negative quadratic function…
Existence, Lifespan and Transfer Rate of Ricci Flows on Manifolds with Small Ricci Curvature
Fei He
We show that in dimension 4 and above, the lifespan of Ricci flows depends on the relative smallness of the Ricci curvature compared to the Riemann curvature on the initial manifol…