The existence of symplectic 3-forms on 7-manifolds
Hông Vân Lê
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Submission date: 14. Aug. 2006
MSC-Numbers: 53C10, 53C42
Keywords and phrases: symplectic 3-forms, $\tilde G_2$-forms, universal space
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In this note we consider the existence problem for symplectic 3-forms on 7-manifolds. We find a first example of a closed 3-form of -type on . We also prove that any integral symplectic 3-forms on a 7-manifold can be obtained by embedding to a universal space , where .