Revisiting 3-Sasakian and G 2 $$G_2$$ -structures

Simon Salamon () and Ragini Singhal ()
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Simon Salamon: King’s College London, Strand
Ragini Singhal: University of Münster

A chapter in Real and Complex Geometry, 2025, pp 267-290 from Springer

Abstract: Abstract The algebra of exterior differential forms on a regular 3-Sasakian 7-manifold is investigated, with special reference to nearly-parallel G 2 $$G_2$$ 3-forms. This is applied to the study of 3-forms invariant under cohomogeneity-one actions by SO ( 4 ) $$SO(4)$$ on the 7-sphere and on Berger’s space SO ( 5 ) ∕ SO ( 3 ) $$SO(5)/SO(3)$$ .

Keywords: Self-dual Einstein; Cohomogeneity one; Nearly parallel; Berger space; Nearly half-flat (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-92297-8_13

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DOI: 10.1007/978-3-031-92297-8_13

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