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

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

2011-05-17

arxiv.org/abs/1105.3494v1

Mathematics

Differential Geometry

3 pages

Scientific paper

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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