Homogeneous quaternionic Kaehler structures and quaternionic hyperbolic space

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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).
40 pages

Keywords

Differential Geometry, 53C30; 53C26

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/75016

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504550
 http://arxiv.org/abs/math/0504550

Collections

arXiv