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Classification of gradient steady Ricci solitons with linear curvature decay |
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| Authors: | Deng Yuxing Zhu Xiaohua |
| Affiliation: | 1.School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China ;2.School of Mathematical Sciences and BICMR, Peking University, Beijing, 100871, China ; |
| Abstract: | In this paper,we study steady Ricci solitons with a linear decay of sectional curvature.In particular,we give a complete classification of 3-dimensional steady Ricci solitons and 4-dimensional K-noncollapsed steady Ricci solitons with non-negative sectional curvature under the linear curvature decay. |
| Keywords: | Ricci flow steady Ricci solitons rotational symmetry |
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