On Potential Function of Gradient Steady Ricci Solitons
Differential Geometry
2014-11-18 v2
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.
Cite
@article{arxiv.1102.3018,
title = {On Potential Function of Gradient Steady Ricci Solitons},
author = {Peng Wu},
journal= {arXiv preprint arXiv:1102.3018},
year = {2014}
}
Comments
7 pages, proof of the main theorem revised