On four-dimensional anti-self-dual gradient Ricci solitons

Details On four-dimensional anti-self-dual gradient Ricci solitons On four-dimensional anti-self-dual gradient Ricci solitons

2011-02-02

arxiv.org/abs/1102.0358v2

Mathematics

Differential Geometry

Scientific paper

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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