Revisiting 3-Sasakian and G2-structures
Abstract
The algebra of exterior differential forms on a regular 3-Sasakian 7-manifold is investigated, with special reference to nearly-parallel G2 3-forms. This is applied to the study of 3-forms invariant under cohomogeneity-one actions by SO(4) on the 7-sphere and on Berger's space SO(5)/SO(3).
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