2 papers
math.DG2025
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.DG2025
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…