Published Paper
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Inserted: 24 jul 2011
Last Updated: 9 nov 2026

Journal: Calc. Var. PDE
Volume: 49
Number: 1-2
Pages: 125-138
Year: 2014

Abstract:

In this paper we prove that any $n$-dimensional ($n> 3$) complete Bach-flat gradient steady Ricci solitons 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.

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• Bachsteady_final.pdf