Rigidity Theorem for integral pinched shrinking Ricci solitons

2015/10/24 by Fu, Hai-Ping, Xiao, Li-Qun
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1510.07121

Abstract

We prove that an n-dimensional, n≥4, compact gradient shrinking Ricci soliton satisfying a L^{\frac n2}-pinching condition is isometric to a quotient of the round \mathbbSⁿ, which improves the rigidity theorem given by G. Catino (arXiv:1509.07416vl).

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