Strictly nearly Kahler 6-manifolds are not compatible with symplectic forms

Details Strictly nearly Kahler 6-manifolds are not compatible with symplectic forms Strictly nearly Kahler 6-manifolds are not compatible with symplectic forms

2006-10-26

arxiv.org/abs/math/0610806v3

Mathematics

Differential Geometry

6 pages. to appear in CRAS. typos and quotations corrected

Scientific paper

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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