Homogeneous quaternionic Kaehler structures and quaternionic hyperbolic space

Details Homogeneous quaternionic Kaehler structures and quaternionic hyperbolic space Homogeneous quaternionic Kaehler structures and quaternionic hyperbolic space

2005-04-27

arxiv.org/abs/math/0504550v1

Mathematics

Differential Geometry

40 pages

Scientific paper

An explicit classification of homogeneous quaternionic Kaehler 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).

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