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A closed symplectic four-manifold has almost Kähler metrics of negative scalar curvature

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Abstract

We show that any closed symplectic four-dimensional manifold (M, ω) admits an almost Kähler metric of negative scalar curvature compatible with ω.

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Correspondence to Jongsu Kim.

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Communicated by C. LeBrun (Stony Brook).

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Kim, J. A closed symplectic four-manifold has almost Kähler metrics of negative scalar curvature. Ann Glob Anal Geom 33, 115–136 (2008). https://doi.org/10.1007/s10455-007-9074-8

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  • DOI: https://doi.org/10.1007/s10455-007-9074-8

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