HyperKähler and quaternionic Kähler manifolds with S1 -symmetries

@inproceedings{Haydys2008HyperKhlerAQ,
  title={HyperK{\"a}hler and quaternionic K{\"a}hler manifolds with S1 -symmetries},
  author={Andriy Haydys},
  year={2008}
}
  • Andriy Haydys
  • Published 2008
  • Mathematics, Physics
  • We study relations between quaternionic Riemannian manifolds admitting different types of symmetries. We show that any hyperKahler manifold admitting hyperKahler potential and triholomorphic action of S1 can be constructed from another hyperKahler manifold (of lower dimension) with an action of S1 that fixes one complex structure and rotates the other two and vice versa. We also study the corresponding quaternionic Kahler manifolds equipped with a quaternionic Kahler action of the circle. In… CONTINUE READING

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