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

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

2011-09-23

arxiv.org/abs/1109.5085v1

Mathematics

Differential Geometry

17 pages

Scientific paper

We provide non trivial examples of solutions to the system of coupled
equations introduced by M. Garc\'ia-Fern\'andez 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 K\"ahler metric and Hermitian-Einstein metric.

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