Quaternionic Kaehler Manifolds

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1982Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 272, page 677 (issn: 0002-9947,

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Authors: Whitt, Lee;

doi: 10.2307/1998721 , 10.1090/s0002-9947-1982-0662060-6

Quaternionic Kaehler Manifolds

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Abstract

The topological classification of 4 4 - and 8 8 - (real) dimensional compact quaternionic Kaehler manifolds is given. There is only the torus in dimension 4. In dimension 8, there are 12 homeomorphism classes; representatives are given explicitly.

Keywords

anticommuting Kaehler structures, quaternions, diffeomorphism classes, General geometric structures on manifolds (almost complex, almost product structures, etc.), Global differential geometry of Hermitian and Kählerian manifolds

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