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Properties of the nearly kähler S3×S3

Abstract : We show how the metric, the almost complex structure and the almost product structure of the homogeneous nearly Kahler S3 × S3 can be recovered from a submersion π : S3 × S3 × S3 → S3 × S3. On S3 × S3 × S3 we have the maps obtained either by changing two coordinates, or by cyclic permutations. We show that these maps project to maps from S3 × S3 to S3 × S3 and we investigate their behavior.
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Submitted on : Tuesday, March 30, 2021 - 8:41:40 AM
Last modification on : Tuesday, October 19, 2021 - 6:38:15 PM

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Marilena Moruz, Luc Vrancken. Properties of the nearly kähler S3×S3. Publications de l'Institut Mathématique., Serbian Academy of Sciences and Arts, 2018, 103 (117), pp.147-158. ⟨10.2298/PIM1817147M⟩. ⟨hal-03184977⟩

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