Manifolds admitting a $\tilde G_2$-structure

Details Manifolds admitting a $\tilde G_2$-structure Manifolds admitting a $\tilde G_2$-structure

2007-04-04

arxiv.org/abs/0704.0503v2

Mathematics

Algebraic Topology

4 pages, a new shorter exposition is given

Scientific paper

We find a necessary and sufficient condition for a compact 7-manifold to
admit a $\tilde G_2$-structure. As a result we find a sufficient condition for
an open 7-manifold to admit a closed 3-form of $\tilde G_2$-type.

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