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Examples of compact non-Kähler almost Kähler manifolds

Luis A. Cordero, M. Fernández, Manuel de León

Source record

Source: Crossref

Published: Oct 1, 1985

DOI: 10.1090/s0002-9939-1985-0801339-x

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Source abstract

A parametrized family of compact non-Kähler almost Kähler manifolds M 2 r + 2 {M^{2r + 2}} , r ⩾ 1 r \geqslant 1 , is constructed. For r r odd, these manifolds are shown to have odd first Betti number, so they cannot be Kählerian.

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Examples of compact non-Kähler almost Kähler manifolds — Mathematical Frontier Network