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arXiv · 2108.05477

On a dichotomy of the curvature decay of steady Ricci soliton

Pak-Yeung Chan·Bo Zhu
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Abstract

We establish a dichotomy on the curvature decay for four dimensional complete noncompact non Ricci flat steady gradient Ricci soliton with linear curvature decay and proper potential function. A similar dichotomy is also shown in higher dimensions under the additional assumption that the Ricci curvature is nonnegative outside a compact subset.

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Pak-Yeung Chan, Bo Zhu. 2021-08-12. On a dichotomy of the curvature decay of steady Ricci soliton. https://arxiv.org/abs/2108.05477

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