@article{10902/36807, year = {2025}, month = {7}, url = {https://hdl.handle.net/10902/36807}, 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.}, organization = {This research was partially supported by a doctoral research grant “Concepción Arenal” (Universidad de Cantabria and Gobierno de Cantabria). We also want to thank the referees and the editor for their valuable comments, making the document more concise and clear.}, publisher = {Birkhäuser}, publisher = {Mediterranean Journal of Mathematics, 2025, 22, 138}, title = {About generalized complex structures on S6}, author = {Etayo Gordejuela, Fernando and Gómez Nicolás, Pablo and Santamaría, Rafael}, }