Una ecuación especialmente sofisticada para evolucionar variedades casi-Kähler es el flujo de curvatura simpléctico, introducido por Streets-Tian. Los puntos fijos de este flujo, que reciben el nombre de estructuras ...

We bring new insights into the longstanding Alekseevskii conjecture, namely that any connected homogeneous Einstein manifold of negative scalar curvature is diffeomorphic to a Euclidean space, by proving structural results ...

This Doctoral Thesis develops novel articulations of Differential Operators on Manifolds for applications on Computer Aided Design, Manufacture and Computer Graphics, as follows: (1) Mesh Parameterization and Segmentation. ...

We give an introductory survey to the use of Hopf algebras in several problems of noncommutative geometry. The main example, the Hopf algebra of rooted trees, is a graded, connected Hopf algebra arising from a universal ...

Let N ⊂ M be a finite Jones' index inclusion of II1 factors and denote by UN ⊂ UM their unitary groups. In this article, we study the homogeneous space UM/UN, which is a (infinite dimensional) differentiable manifold, ...

Estudiamos 2-formas de Killing-Yano invariantes a izquierda sobre grupos de Lie, o equivalentemente, sobre álgebras de Lie. Más particularmente, clasificamos las álgebras de Lie de dimensión 4 que admitan tales estructuras, ...

Let H be a Hilbert space, infinite dimensional. The set Delta_1 = {1 + a : a in the trace class, 1 + a positive and invertible} is a differentiable manifold of operators, and a homogeneous space under the action of the ...

The goal of this work is to study the geometric conditions required on a pseudo-Riemannian manifold M to guarantee the existence of solutions of a second order partial differential equation posed on M. We closely follow ...