# Complete gradient shrinking Ricci solitons with pinched curvature

created by catino on 06 Apr 2011
modified on 23 Feb 2013

[BibTeX]

Published Paper

Inserted: 6 apr 2011
Last Updated: 23 feb 2013

Journal: Math. Ann.
Volume: 355
Number: 2
Pages: 629-635
Year: 2013

Abstract:

We prove that any $n$--dimensional complete gradient Ricci soliton with pinched Weyl curvature is a finite quotient of ${R}^{n}$, ${R} \times {S}^{n-1}$ or ${S}^{n}$. In particular, we do not need to assume the metric to be locally conformally flat.