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arXiv · 1102.3018

On Potential Function of Gradient Steady Ricci Solitons

Peng Wu
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Abstract

In this paper we study potential function of gradient steady Ricci solitons. We prove that infimum of potential function decays linearly; in particular, potential function of rectifiable gradient steady Ricci solitons decays linearly. As a consequence, we show that a gradient steady Ricci soliton with bounded potential function must be trivial, and no gradient steady Ricci soliton admits uniformly positive scalar curvature.

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Peng Wu. 2011-02-15. On Potential Function of Gradient Steady Ricci Solitons. https://arxiv.org/abs/1102.3018

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