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math.DG2009
Non-local heat flows and gradient estimates on closed manifolds
Li Ma, Liang Cheng
In this paper, we study two kind of L^2 norm preserved non-local heat flows on closed manifolds. We first study the global existence, stability and asymptotic behavior to such non-…
math.DG2009
Gradient estimate for the Poisson equation and the non-homogeneous heat equation on compact Riemannian manifolds
Li Ma, Liang Cheng
In this short note, we study the gradient estimate of positive solutions to Poisson equation and the non-homogeneous heat equation in a compact Riemannian manifold (M^n,g). Our res…
math.DG2008
Curvature tensor under the complete non-compact Ricci Flow
Li Ma, Liang Cheng
We prove that for a solution , , where , to the Ricci flow with bounded curvature on a complete non-compact Riemannian manifold with the Ricci curv…