Classification of gradient steady Ricci solitons with linear curvature decay

Yuxing Deng; Xiaohua Zhu

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arXiv · 1809.08502

Classification of gradient steady Ricci solitons with linear curvature decay

Yuxing Deng·Xiaohua Zhu

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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 $\kappa$-noncollpased steady Ricci solitons with nonnegative sectional curvature under the linear curvature decay.

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Yuxing Deng, Xiaohua Zhu. 2018-09-22. Classification of gradient steady Ricci solitons with linear curvature decay. https://arxiv.org/abs/1809.08502

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