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Homogeneous quaternionic Kahler structures and quaternionic hyperbolic space

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  • M. Castrillon Lopez, Universidad Autónoma de Madrid
  • ,
  • P. M. Gadea, CSIC - Instituto de Matemáticas y Física Fundamental
  • ,
  • A. F. Swann

An explicit classification of homogeneous quaternionic Kahler structures by real tensors is derived and we relate this to the representation-theoretic description found by Fino. We then show how the quaternionic hyperbolic space ℍH(n) is characterised by admitting homogeneous structures of a particularly simple type. In the process we study the properties of different homogeneous models for ℍH(n).

Original languageEnglish
JournalTransformation Groups
Pages (from-to)575-608
Number of pages34
Publication statusPublished - 1 Dec 2006
Externally publishedYes

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