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- Title
PROPERTIES OF THE NEARLY KÄHLER S³ × S³.
- Authors
Moruz, Marilena; Vrancken, Luc
- Abstract
We show how the metric, the almost complex structure and the almost product structure of the homogeneous nearly Kähler S³ × S³ can be recovered from a submersion π : S³ × S³ 3 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.
- Subjects
RIEMANNIAN submersions; COORDINATES; CYCLIC permutations; MANIFOLDS (Mathematics); SUBMERSIONS (Mathematics)
- Publication
Publications de l'Institut Mathématique, 2018, Vol 103, Issue 117, p147
- ISSN
0350-1302
- Publication type
Article
- DOI
10.2298/PIM1817147M