Publications de l’Institut Mathématique, Nouvelle Série Vol. 103[117] 
Properties of the Nearly Kähler ${\mathbb{S}}^{3}\times {\mathbb{S}}^{3}$Marilena Moruz, Luc VranckenLAMAV, Université de Valenciennes, Valenciennes; France; KU Leuven, Department of Mathematics, Leuven, BelgiumAbstract: We show how the metric, the almost complex structure and the almost product structure of the homogeneous nearly Kähler ${\mathbb{S}}^{3}\times {\mathbb{S}}^{3}$ can be recovered from a submersion $\pi :{\mathbb{S}}^{3}\times {\mathbb{S}}^{3}\times {\mathbb{S}}^{3}\to {\mathbb{S}}^{3}\times {\mathbb{S}}^{3}$. On ${\mathbb{S}}^{3}\times {\mathbb{S}}^{3}\times {\mathbb{S}}^{3}$ we have the maps obtained either by changing two coordinates, or by cyclic permutations. Keywords: nearly Kähler manifolds; Riemannian submersion Classification (MSC2000): 53B35 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 26 Apr 2018. This page was last modified: 11 Mai 2018.
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