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

Chow, Bennett; Lu, Peng

doi:10.1090/S0002-9939-2013-12176-3

The linear trace Harnack quadratic on a steady gradient Ricci soliton satisfies the heat equation
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by Bennett Chow and Peng Lu PDF

Proc. Amer. Math. Soc. 141 (2013), 2855-2857 Request permission

Abstract:

We show that on steady and shrinking gradient Ricci solitons, expressions involving the linear trace Harnack quadratic satisfy the heat equation. We also interpolate between Li–Yau-type calculations of Cao–Hamilton and Perelman.

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