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Torus symmetry of compact self-dual manifolds

Yat Sun Poon

Differential Geometry mathscidoc:1910.43830

Geometriae Dedicata, 60, (1), 49-64, 1996.3
We classify compact anti-self-dual Hermitian surfaces and compact four-dimensional conformally flat manifolds for which the group of orientation preserving conformal transformations contains a two-dimensional torus. As a corollary, we derive a topological classification of compact self-dual manifolds for which the group of conformal transformations contains a two-dimensional torus.
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@inproceedings{yat1996torus,
  title={Torus symmetry of compact self-dual manifolds},
  author={Yat Sun Poon},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020221608322640359},
  booktitle={Geometriae Dedicata},
  volume={60},
  number={1},
  pages={49-64},
  year={1996},
}
Yat Sun Poon. Torus symmetry of compact self-dual manifolds. 1996. Vol. 60. In Geometriae Dedicata. pp.49-64. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020221608322640359.
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