English

Rigidity Theorem for integral pinched shrinking Ricci solitons

Differential Geometry 2015-11-27 v1

Abstract

We prove that an nn-dimensional, n4n\geq4, compact gradient shrinking Ricci soliton satisfying a Ln2L^{\frac n2}-pinching condition is isometric to a quotient of the round Sn\mathbb{S}^n, which improves the rigidity theorem given by G. Catino (arXiv:1509.07416vl).

Keywords

Cite

@article{arxiv.1510.07121,
  title  = {Rigidity Theorem for integral pinched shrinking Ricci solitons},
  author = {Hai-Ping Fu and Li-Qun Xiao},
  journal= {arXiv preprint arXiv:1510.07121},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:1509.07416 by other authors

R2 v1 2026-06-22T11:28:01.097Z