摘要
In this paper we consider 4-dimensional steady soliton singularity models, i.e., complete steady gradient Ricci solitons that arise as the rescaled limit of a finite time singular solution of the Ricci flow on a closed 4-manifold. In particular, we study the geometry at infinity of such Ricci solitons under the assumption that their tangent flow at infinity is the product of R with a 3-dimensional spherical space form. We also classify the tangent flows at infinity of 4-dimensional steady soliton singularity models in general.
源语言 | 英语 |
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文章编号 | 108285 |
期刊 | Advances in Mathematics |
卷 | 401 |
DOI | |
出版状态 | 已出版 - 4 6月 2022 |
指纹
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Bamler, R. H., Chow, B., Deng, Y., Ma, Z., & Zhang, Y. (2022). Four-dimensional steady gradient Ricci solitons with 3-cylindrical tangent flows at infinity. Advances in Mathematics, 401, 文章 108285. https://doi.org/10.1016/j.aim.2022.108285