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arxiv: 1105.3494 · v1 · pith:VZJYTIBHnew · submitted 2011-05-17 · 🧮 math.DG

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

classification 🧮 math.DG
keywords solitonsteadyequationgradientharnackheatlinearquadratic
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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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