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arXiv 2018-09-22 0 views

Classification of gradient steady Ricci solitons with linear curvature decay

Deng, Yuxing · Zhu, Xiaohua

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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 κ-noncollpased steady Ricci solitons with nonnegative sectional curvature under the linear curvature decay.

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