59 citations · 115 across the 9 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…
On nearly Kähler and Kähler-Codazzi type manifolds
Fernando Etayo, Araceli deFrancisco, Rafael Santamaría
Nearly Kähler and Kähler-Codazzi type manifolds are defined in a very similar way. We prove that nearly Kähler type manifolds have sense just in Hermitian and para-Hermitian contex…
The canonical involution in the space of connections of a -metric manifold
Fernando Etayo, Rafael Santamaría
A -metric manifold has an almost complex or almost product structure and a compatible metric . We show that there exists a canonical involution in the set of…
Distinguished connections on -metric manifolds
Fernando Etayo, Rafael Santamaría
We study several linear connections (the first canonical, the Chern, the well adapted, the Levi Civita, the Kobayashi-Nomizu, the Yano, the Bismut and those with totally skew-symme…
Connections functorially attached to almost complex product structures
Fernando Etayo, Rafael Santamaría
Manifolds endowed with three foliations pairwise transversal are known as 3-webs. Equivalently, they can be algebraically defined as biparacomplex or complex product manifolds, i.e…