The linear trace Harnack quadratic on a steady gradient Ricci soliton satisfies the heat equation

preprint2011arXivOpen access

Abstract

We show that the linear trace Harnack quadratic on a steady gradient Ricci soliton satisfies the heat equation. Similar result holds for shrinkers. We also present an interpolation between Perelman's and Cao--Hamilton's Harnacks on a steady soliton.

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