On the Potential Function of Gradient Steady Ricci Solitons |
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Authors: | Peng Wu |
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Institution: | 1. Department of Mathematics, University of California, Santa Barbara, Santa Barbara, CA, 93106, USA
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Abstract: | In this paper, we study the potential function of gradient steady Ricci solitons. We prove that the infimum of the potential function decays linearly. As a consequence, we show that a gradient steady Ricci soliton with bounded potential function must be trivial, and that no gradient steady Ricci soliton admits uniformly positive scalar curvature. |
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