Publication

Coupled equations for Kahler metrics and Yang-Mills connections

Mario Garcia Fernandez
2013
Journal Articles

Abstract

We study equations on a principal bundle over a compact complex manifold coupling a connection on the bundle with a Kahler structure on the base. These equations generalize the conditions of constant scalar curvature for a Kahler metric and Hermite-Yang-Mills for a connection. We provide a moment map interpretation of the equations and study obstructions for the existence of solutions, generalizing the Futaki invariant, the Mabuchi K-energy and geodesic stability. We finish by giving some examples of solutions.

Official source

https://infoscience.epfl.ch/entities/publication/84767f17-4f67-43a3-b46e-2b7d264904e7

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Coupled equations for Kahler metrics and Yang-Mills connections

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