Abstract
We show that every symplectic manifold of dimension ≥ 4 admits a complete compatible almost Kähler metric of negative scalar curvature. And we discuss the C 0-closure of the set of almost Kähler metrics of negative scalar curvature. Some local versions are also proved.
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J. Kim was supported by the Korea Research Foundation grant funded by the Korean Government (MOEHRD) (R14-2002-044-01002-0).
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Kim, J. Almost Kähler metrics of negative scalar curvature on symplectic manifolds. Math. Z. 262, 381–388 (2009). https://doi.org/10.1007/s00209-008-0379-5
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DOI: https://doi.org/10.1007/s00209-008-0379-5