A generalization of Hamilton's differential Harnack inequality for the Ricci flow

2007/07/16 by Simon Brendle, Brendle, S.
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.0707.2192

openalex publication_date 2007/07/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In [10], R. Hamilton established a differential Harnack inequality for solutions to the Ricci flow with nonnegative curvature operator. We show that this inequality holds under the weaker condition that M x R² has nonnegative isotropic curvature.

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