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Self Dual Einstein Orbifolds with Few Symmetries as Quaternion Kaehler Quotients

Differential Geometry 2015-05-13 v1

Abstract

We construct a new family of compact orbifolds with a positive self dual Einstein metric and a one-dimensional group of isometries. Together with another known family, these examples classify all 4-dimensional orbifolds that are quaternion Kaehler quotients by a torus of real Grassmannians.

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Cite

@article{arxiv.0901.4913,
  title  = {Self Dual Einstein Orbifolds with Few Symmetries as Quaternion Kaehler Quotients},
  author = {Luca Bisconti and Paolo Piccinni},
  journal= {arXiv preprint arXiv:0901.4913},
  year   = {2015}
}

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20 pages