2021/02/09 by Bamler, Richard, Chow, Bennett, Deng, Yuxing +2
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2102.04649
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.