Classification of gradient steady Ricci solitons with linear curvature decay
Abstract
In this paper, we give a description for steady Ricci solitons with a linear decay of sectional curvature. In particular, we classify all 3-dimensional steady Ricci solitons and 4-dimensional -noncollpased steady Ricci solitons with nonnegative sectional curvature under the linear curvature decay.
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