Systems of symplectic forms on four-manifolds
classification
🧮 math.DG
keywords
manifoldsalmostformshermitiansymplecticadmittingalgebracanonical
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We study almost Hermitian 4-manifolds with holonomy algebra, for the canonical Hermitian connection, of dimension at most one. We show how Riemannian 4-manifolds admitting five orthonormal symplectic forms fit therein and classify them. In this set-up we also fully describe almost Kaehler 4-manifolds.
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