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On four-dimensional anti-self-dual gradient Ricci solitons (1102.0358v2)
Published 2 Feb 2011 in math.DG
Abstract: In this note we prove that any four-dimensional half conformally flat gradient steady Ricci soliton must be either Bryant's soliton or Ricci flat. We also classify four-dimensional half conformally flat gradient shrinking Ricci solitons with bounded curvature.
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