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arXiv · 1105.3494

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

Bennett Chow·Peng Lu
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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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Bennett Chow, Peng Lu. 2011-05-17. The linear trace Harnack quadratic on a steady gradient Ricci soliton satisfies the heat equation. https://arxiv.org/abs/1105.3494

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