Preprint 71/2006
The existence of symplectic 3-forms on 7-manifolds
Hông Vân Lê
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Submission date: 14. Aug. 2006
Pages: 24
Bibtex
MSC-Numbers: 53C10, 53C42
Keywords and phrases: symplectic 3-forms, $\tilde G_2$-forms, universal space
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Abstract:
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 
.