Homogeneous quaternionic Kaehler structures and quaternionic hyperbolic space
Differential Geometry
2007-05-23 v1
Abstract
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).
Cite
@article{arxiv.math/0504550,
title = {Homogeneous quaternionic Kaehler structures and quaternionic hyperbolic space},
author = {M. Castrillon Lopez and P. M. Gadea and A. F. Swann},
journal= {arXiv preprint arXiv:math/0504550},
year = {2007}
}
Comments
40 pages