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arXiv · 1510.07121

Rigidity Theorem for integral pinched shrinking Ricci solitons

Hai-Ping Fu·Li-Qun Xiao
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Abstract

We prove that an $n$-dimensional, $n\geq4$, compact gradient shrinking Ricci soliton satisfying a $L^{\frac n2}$-pinching condition is isometric to a quotient of the round $\mathbb{S}^n$, which improves the rigidity theorem given by G. Catino (arXiv:1509.07416vl).

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Hai-Ping Fu, Li-Qun Xiao. 2015-10-24. Rigidity Theorem for integral pinched shrinking Ricci solitons. https://arxiv.org/abs/1510.07121

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