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Geometry and Physics: Volume IA Festschrift in honour of Nigel Hitchin$
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Andrew Dancer, Jørgen Ellegaard Andersen, and Oscar García-Prada

Print publication date: 2018

Print ISBN-13: 9780198802013

Published to Oxford Scholarship Online: December 2018

DOI: 10.1093/oso/9780198802013.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 23 October 2019

Quaternionic Geometry in Dimension 8

Quaternionic Geometry in Dimension 8

Chapter:
(p.91) 5 Quaternionic Geometry in Dimension 8
Source:
Geometry and Physics: Volume I
Author(s):

Diego Conti

Thomas Bruun Madsen

Simon Salamon

Publisher:
Oxford University Press
DOI:10.1093/oso/9780198802013.003.0005

This chapter describes the 8-dimensional Wolf spaces as cohomogeneity one SU(3)-manifolds, and discover perturbations of the quaternion-kähler metric on the simply connected 8-manifold G2/SO(4) that carry a closed fundamental 4-form but are not Einstein.

Keywords:   quaternionic, cohomogeneity one, Wolf space, Einstein

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