Elementary Deformations and the HyperKähler-Quaternionic Kähler Correspondence

Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 106)


The hyperKähler-quaternionic Kähler correspondence constructs quaternionic Kähler metrics from hyperKähler metrics with a rotating circle symmetry. We discuss how this may be interpreted as a combination of the twist construction with the concept of elementary deformation, surveying results of our forthcoming paper. We outline how this leads to a uniqueness statement for the above correspondence and indicate how basic examples of c-map constructions may be realised in this context.


Curvature Form Circle Action Twist Function Elementary Deformation Flat Connection 
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This work is partially supported by the Danish Council for Independent Research, Natural Sciences, and by the Spanish Agency for Scientific and Technical Research (DGICT) and FEDER project MTM2010-15444.


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Copyright information

© Springer Japan 2014

Authors and Affiliations

  1. 1.Facultad de Ciencias Matematicas, Departamento de Geometria y TopologiaUniversidad de ValenciaValenciaSpain
  2. 2.Department of MathematicsAarhus UniversityAarhus CDenmark

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