Year: 2025
Type: article
Abstract: We study the existence of generalized complex structures on the six-dimensional sphere $$\mathbb {S}^6$$ S 6 . We work with the generalized tangent bundle $$\mathbb {T}\mathbb {S}^6\rightarrow \mathbb {S}^6$$ T S 6 → S 6 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 $$\mathbb {S}^6$$ S 6 from its usual nearly Kähler structure inherited from the octonions product.
Authors: Fernando Etayo, Pablo Gómez-Nicolás, Rafael Santamaría
Institutions: Universidad de Cantabria, Universidad de León
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
Funder: Universidad de Cantabria
OpenAlex ID: W4412969682