Conical structure for shrinking Ricci solitons

Abstract

It is shown that a shrinking gradient Ricci soliton must be smoothly asymptotic to a cone if its Ricci curvature goes to zero at infinity.

Cite this article

Ovidiu Munteanu, Jiaping Wang, Conical structure for shrinking Ricci solitons. J. Eur. Math. Soc. 19 (2017), no. 11, pp. 3377–3390

DOI 10.4171/JEMS/741