2000 character limit reached
On compact homogeneous $\mathrm{G}_{2(2)}$-manifolds (1808.10160v2)
Published 30 Aug 2018 in math.DG
Abstract: We prove that among all compact homogeneous spaces for an effective transitive action of a Lie group whose Levi subgroup has no compact simple factors, the seven-dimensional flat torus is the only one that admits an invariant torsion-free $\mathrm{G}_{2(2)}$-structure.
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