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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Examples of compact non-Kähler almost Kähler manifolds


Authors: Luis A. Cordero, M. Fernández and Manuel de León
Journal: Proc. Amer. Math. Soc. 95 (1985), 280-286
MSC: Primary 53C15; Secondary 32M10, 53C57
MathSciNet review: 801339
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Abstract: A parametrized family of compact non-Kähler almost Kähler manifolds $ {M^{2r + 2}}$, $ r \geqslant 1$, is constructed. For $ r$ odd, these manifolds are shown to have odd first Betti number, so they cannot be Kählerian.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1985-0801339-X
Keywords: Almost Kähler manifolds, generalized Heisenberg groups, locally affine manifolds
Article copyright: © Copyright 1985 American Mathematical Society