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math.DG2025
Harnack Inequality for -Mean Curvature Flow
Xiang-Dong Li, Qi Yan
In this paper, we prove a Li-Yau-Hamilton type Harnack estimate for the -mean curvature flow in Euclidean space, which can be viewed as a gradient flow of the weighed area funct…
math.DG2025
Monotonicity of Perelman -Entropy of Mean Curvature Flow
Xiang-Dong Li, Qi Yan
In this paper, we study Perelman' s entropy for mean curvature flow in . Analogously to Perelman's -entropy defined for Ricci flow, K.…