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Title: Some remarks on quaternion-Hermitian manifolds (English)
Author: Swann, Andrew
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 33
Issue: 3
Year: 1997
Pages: 349-354
Summary lang: English
Category: math
Summary: Nearly-quaternionic Kähler manifolds of dimension at least $8$ are shown to be quaternionic Kähler. Restrictions on the covariant derivative of the fundamental four-form of a semi-quaternionic Kähler are also found. (English)
Keyword: G-structure
Keyword: quaternion-Hermitian manifold
Keyword: nearly-quaternionic Kähler
Keyword: semi-quaternionic Kähler
Keyword: fundamental four-form
MSC: 53C15
MSC: 53C25
MSC: 53C55
idZBL: Zbl 0910.53023
idMR: MR1601349
Date available: 2008-06-06T21:34:40Z
Last updated: 2012-05-10
Stable URL:
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Reference: [Sw2] Swann, A. F.: Quaternionic Kähler geometry and the fundamental $4$-from.Proceedings of the Curvature Geometry Workshop, Lancaster, C. T. J. Dodson (ed.), UDLM Publ., 1989, pp. 165–174. MR 1089891
Reference: [Sw3] Swann, A. F.: HyperKähler and quaternionic Kähler geometry.Math. Ann. 289 (1991). Zbl 0711.53051, MR 1096180


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