https://neckpinch.com/authors/juanling-lu/New arXiv papers by Juanling Lu, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2506.04937/arxiv:2506.04937Thu, 05 Jun 2025 00:00:00 GMTJuanling 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 curvature condition. Compared with [25] and [35], these estimates generalize the results in Ricci flow to this new flow under the weaker Ricci curvature bounded assumption. As an application, we derive the Harnack-type inequalities in spacetime and find the monotonicity of one parabolic frequency for positive solutions of the heat equation under bounded Ricci curvature.Ricci flowGeneralized & G₂ flowsHarnack inequalities