Non trivial examples of coupled equations for Kähler metrics and Yang-Mills connections

Abstract

We provide non trivial examples of solutions to the system of coupled equations introduced by M. García-Fernández for the uniformization problem of a triple $(M,L,E)$ where $E$ is a holomorphic vector bundle over a polarized complex manifold $(M,L)$, generalizing the notions of both constant scalar curvature Kähler metric and Hermitian-Einstein metric.

17 pages

References in corpus (1)

• Hamiltonian 2-forms in Kahler geometry, III Extremal metrics and stability