Rigidity of Five-Dimensional shrinking gradient Ricci solitons

2025/06/01 by Li, Fengjiang, Ou, Jianyu, Qu, Yuanyuan +1
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2506.00887

Abstract

Suppose (M, g, f) is a 5-dimensional complete shrinking gradient Ricci soliton with R=1. If it has bounded curvature, we prove that it is a finite quotient of ℝ³× \mathbbS².

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• Rigidity Theorem for integral pinched shrinking Ricci solitons