About generalized complex structures on $\mathbb S^6$

التفاصيل البيبلوغرافية
العنوان: About generalized complex structures on $\mathbb S^6$
المؤلفون: Etayo, Fernando, Gómez-Nicolás, Pablo, Santamaría, Rafael
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Differential Geometry, 53D18, 53C15
الوصف: We study the existence of generalized complex structures on the six-dimensional sphere $\mathbb S^6$. We work with the generalized tangent bundle $\mathbb T\mathbb S^6\to \mathbb S^6$ 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 $\mathbb S^6$ from its usual nearly K\"ahler structure inherited from the octonions product.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2405.05681
رقم الأكسشن: edsarx.2405.05681
قاعدة البيانات: arXiv