Classification of gradient steady Ricci solitons with linear curvature decay

2018/09/22 by Yuxing Deng, Deng, Yuxing, Xiaohua Zhu +1
Mathematics · Physics and Astronomy · #58J05 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Primary: 53C25 #Secondary: 53C55

paper · pdf · doi:10.48550/arxiv.1809.08502

openalex publication_date 2018/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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

Citations

• A Compactness Property for Solutions of the Ricci Flow

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