On a dichotomy of the curvature decay of steady Ricci soliton
arXiv:2108.05477
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.
arXiv comment30 pages
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