Six-dimensional nearly Kaehler manifolds of cohomogeneity one (II)

2010/11/21 by Spiro, Andrea, Podesta', Fabio · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1011.4681

Abstract

Let M be a six dimensional manifold, endowed with a cohomogeneity one action of G= SU₂ x SU₂, and M_reg its subset of regular points. We show that M_reg admits a smooth, 2-parameter family of G-invariant, non-isometric strict nearly Kaehler structures and that a 1-parameter subfamily of such structures smoothly extend over a singular orbit of type S³. This determines a new class of examples of nearly Kaehler structures on TS³

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• Hypersurfaces of six-dimensional nearly Kähler manifolds

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