3 papers
math.DG2026
On the triviality of the generalized tangent bundle
Fernando Etayo, Pablo Gómez-Nicolás, Rafael Santamaría
We study the relations between the triviality of the tangent bundle and the generalized tangent bundle of a manifold. We show that the generalize…
math.DG2024
About generalized complex structures on
Fernando Etayo, Pablo Gómez-Nicolás, Rafael Santamaría
We study the existence of generalized complex structures on the six-dimensional sphere . We work with the generalized tangent bundle $\mathbb T\mathbb S^6\to \mathbb S…
math.DG2022
Metric polynomial structures on generalized geometry
Fernando Etayo, Pablo Gómez-Nicolás, Rafael Santamaría
In this document, we study the interaction between different geometric structures that can be defined as morphisms of sections of the generalized tangent bundle $\mathbb TM:= TM\op…