Four-dimensional steady gradient Ricci solitons with 3-cylindrical tangent flows at infinity

Richard H. Bamler, Bennett Chow, Yuxing Deng, Zilu Ma*, Yongjia Zhang

*此作品的通讯作者

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4 引用 (Scopus)

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
文章编号108285
期刊Advances in Mathematics
401
DOI
出版状态已出版 - 4 6月 2022

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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