5 citations · 9 across the 6 of their papers we have counts for
8 papers
Long-time existence and uniqueness of the heterotic flow
Chuanhuan Li, Yi Li, Weijie Miao
In this paper, we prove the long-time existence of the heterotic flow with bounded Ricci curvature, torsion tensor and dilaton. Besides, we also get the forward and backward…
Total scalar curvature under a curvature operator lower bound
Jian Ge, Chuanhuan Li, Ronggang Li
Let be a complete, simply connected Riemannian manifold without boundary, of dimension , with curvature operator at least that of the unit sphere. We prove that…
Long-time existence of some geometric flows with bounded scalar curvature
Chuanhuan Li, Yi Li
The analysis of singularities in scalar curvature is a classical problem. In this survey, we investigate the behavior of scalar curvature under several geometric flows, with a focu…
Real analyticity of the modified Laplacian coflow
Chuanhuan Li, Yi Li
Let (M,ψ(t))_{t\in[0, T]} be a solution of the modified Laplacian coflow (1.3) with coclosed G_{2}-structures on a compact 7-dimensional M. We improve Chen's Shi-type estimate [5]…
Parabolic frequency monotonicity for two nonlinear equations under Ricci flow
Chuanhuan Li, Yi Li, Kairui Xu +1
In this paper, we consider the parabolic frequency for positive solutions of two nonlinear parabolic equations under the Ricci flow on closed manifolds. We obtain the monotonicity…
Gradient estimates and parabolic frequency under the Laplacian G_2 flow
Chuanhuan Li, Yi Li, Kairui Xu
In this paper, we consider the Laplacian G_2 flow on a closed seven-dimensional manifold M with a closed G_2-structure. We first obtain the gradient estimates of positive solutions…
Curvature pinching estimate under the Laplacian G_{2} flow
Chuanhuan Li, Yi Li
In this paper, we derive a pinching estimate on the traceless Ricci curvature in term of scalar curvature and the C^{1} norm of the Weyl tensor under the Laplacian G_{2} flow for c…
Parabolic frequency monotonicity on Ricci flow and Ricci-harmonic flow with bounded curvatures
Chuanhuan Li, Yi Li, Kairui Xu
In this paper, we study the monotonicity of parabolic frequency motivated by \cite{frequency on RF} under the Ricci flow and the Ricci-harmonic flow on manifolds. Here we consider…