2 papers
math.DG2025
Gradient estimates and parabolic frequency monotonicity for positive solutions of the heat equation under generalized Ricci flow
Juanling Lu, Yu Zheng
In this paper, we establish Li-Yau-type and Hamilton-type estimates for positive solutions to the heat equation associated with the generalized Ricci flow, under a less stringent c…
math.DG2024
The Michael-Simon-Sobolev inequality on manifolds for positive symmetric tensor fields
Yuting Wu, Chengyang Yi, Yu Zheng
We prove the Michael-Simon-Sobolev inequality for smooth symmetric uniformly positive definite (0, 2)-tensor fields on compact submanifolds with or without boundary in Riemannian m…