Published Paper
Inserted: 8 nov 2016
Last Updated: 17 oct 2023
Journal: Calc. Var. Partial Differential Equations
Volume: 49
Number: 1-2
Pages: 125-138
Year: 2014
Doi: 10.1007/s00526-012-0575-3
Abstract:
In this paper we prove that any $n$-dimensional ($n\ge 4$) complete Bach-flat gradient steady Ricci soliton with positive Ricci curvature is isometric to the Bryant soliton. We also show that a three-dimensional gradient steady Ricci soliton with divergence-free Bach tensor is either flat or isometric to the Bryant soliton. In particular, these results improve the corresponding classification theorems for complete locally conformally flat gradient steady Ricci solitons in 6 and 9.
Tags:
FIRB2012-DGGFT