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math.DG2023
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…
math.DG2023★ 3 cited
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…
math.DG2023★ 1 cited
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…