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Deformations of
nearly Kähler structures
Andrei Moroianu, Paul-Andi Nagy and Uwe Semmelmann |
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Vol. 235 (2008), No. 1, 57–72
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Abstract |
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We study the space of nearly Kähler structures on compact 6-dimensional manifolds. In particular, we prove that the space of infinitesimal deformations of a strictly nearly Kähler structure (with scalar curvature scal) modulo the group of diffeomorphisms is isomorphic to the space of primitive coclosed (1,1)-eigenforms of the Laplace operator for the eigenvalue 2 scal∕5. |
Keywords
infinitesimal deformations, SU3
structures, nearly Kähler manifolds, Gray manifolds
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Mathematical Subject Classification 2000
Primary: 58E30, 53C10, 53C15
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Milestones
Received: 7 June 2007
Revised: 10 September 2007
Published: 1 March 2008
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Authors |
| Andrei Moroianu | |
| Centre de Mathématiques École Polytechnique 91128 Palaiseau Cedex France |
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| http://www.math.polytechnique.fr/cmat/moroianu/moroianu.html | |
| Paul-Andi Nagy | |
| Department of Mathematics University of Auckland Private Bag 92019, Auckland Mail Centre Auckland 1142 New Zealand |
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| http://www.math.auckland.ac.nz/wiki/Paul_Andi_Nagy | |
| Uwe Semmelmann | |
| Mathematisches Institut Universität zu Köln Weyertal 86-90 D-50931 Köln Germany |
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| http://www.mi.uni-koeln.de/~semmelma/ | |
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