Strictly nearly Kahler 6-manifolds are not compatible with symplectic forms
classification
🧮 math.DG
keywords
almostcompatiblecomplexkahlernearlystructuresymplecticcannot
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We show that the almost complex structure underlying a non-Kahler, nearly Kahler 6-manifold (in particular, the standard almost complex structure of S^6) cannot be compatible with any symplectic form, even locally.
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