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Abstract: We study the existence of generalized complex structures on the six-dimensional sphere S6. We work with the generalized tangent bundle TS6 --> S6 and define the integrability of generalized geometric structures in terms of the Dorfman bracket. Specifically, we prove that there is not a direct way to induce a generalized complex structure on S6 from its usual nearly Kähler structure inherited from the octonions product.
Fuente: Mediterranean Journal of Mathematics, 2025, 22, 138
Publisher: Birkhäuser
Publication date: 18/07/2025
No. of pages: 19
Publication type: Article
DOI: 10.1007/s00009-025-02916-0
ISSN: 1660-5454,1660-5446
Publication Url: https://doi.org/10.1007/s00009-025-02916-0
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FERNANDO ETAYO GORDEJUELA
PABLO GOMEZ NICOLAS
SANTAMARÍA, RAFAEL
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