48 citations · 182 across the 86 of their papers we have counts for
9 papers · 2 filters
Gradient estimates for a simple nonlinear heat equation on manifolds
Li Ma
In this paper, we study the gradient estimate for positive solutions to the following nonlinear heat equation problem on the compact Riemannian ma…
Hamilton type estimates for heat equations on manifolds
Li Ma
In this paper, we study the gradient estimates of Li-Yau-Hamilton type for positive solutions to both drifting heat equation and the simple nonlinear heat equation problem $$ u_t-Δ…
Ricci expanders and type III Ricci flow
Li Ma
In this paper, we study how to get the Ricci expanders from W+-functional through the heat kernel estimate of the conjugate heat equation to the type III singularity of Ricci flow.…
A complete proof of Hamilton's conjecture
Li Ma
In this paper, we give the full proof of a conjecture of R.Hamilton that for being a complete Riemannian 3-manifold with bounded curvature and with the Ricci pinching co…
Expanding Ricci solitons with pinched Ricci curvature
Li Ma
In this paper, we prove that expanding gradient Ricci solitons with (positively) pinched Ricci curvature are trivial ones. Namely, they are either compact or flat.
Local existence to the cross curvature flow on 3-manifolds with boundary
Li Ma, Baiyu Liu
In this paper, we use the DeTurck trick to study the short-time existence of solutions to the Dirichlet and Newmann boundary problems of the cross curvature flow on 3-manifolds wit…