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U(1)-decomposable self-dual manifolds

Yat Sun Poon

Differential Geometry mathscidoc:1910.43844

Differential Geometry and its Applications, 10, (2), 107-119, 1999.3
We characterize conformally flat spaces as the only compact self-dual manifolds which are U(1)-equivariantly and conformally decomposable into two complete self-dual Einstein manifolds with common conformal infinity. A geometric characterization of such conformally flat spaces is also given.
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@inproceedings{yat1999u(1)-decomposable,
  title={U(1)-decomposable self-dual manifolds},
  author={Yat Sun Poon},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020222043737424373},
  booktitle={Differential Geometry and its Applications},
  volume={10},
  number={2},
  pages={107-119},
  year={1999},
}
Yat Sun Poon. U(1)-decomposable self-dual manifolds. 1999. Vol. 10. In Differential Geometry and its Applications. pp.107-119. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020222043737424373.
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