https://neckpinch.com/authors/qi-feng/New arXiv papers by Qi Feng, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1712.02275/arxiv:1712.02275Wed, 06 Dec 2017 00:00:00 GMTQi Feng — In the current paper,under the transverse Ricci flow on a totally geodesic Riemannian foliation, we prove two types of differential Harnack inequalities (Li-Yau gradient estimate) for the positive solutions of the heat equation associated with the time dependent horizontal Laplacian operators. We also get a time dependent version of the generalized curvature dimension inequality. As a consequence of aforementioned results, we also get parabolic Harnack inequalities and heat kernel upper bounds.Ricci flowHarnack inequalitiesHeat kernel