Unit Killing Vector Fields on Nearly Kähler Manifolds
Résumé
We study $6$-dimensional nearly Kähler manifolds admitting a Killing vector field of unit length. In the compact case it is shown that up to a finite cover there is only one geometry possible, that of the $3$--symmetric space $S^3 \times S^3$.
Domaines
Géométrie différentielle [math.DG]| Origine | Fichiers produits par l'(les) auteur(s) |
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