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research article

Coupled equations for Kahler metrics and Yang-Mills connections

Alvarez-Consul, Luis
•
Garcia-Fernandez, Mario  
•
Garcia-Prada, Oscar
2013
Geometry & Topology

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.

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Type
research article
DOI
10.2140/gt.2013.17.2731
Web of Science ID

WOS:000327541500005

Author(s)
Alvarez-Consul, Luis
Garcia-Fernandez, Mario  
Garcia-Prada, Oscar
Date Issued

2013

Publisher

Geometry & Topology Publications

Published in
Geometry & Topology
Volume

17

Issue

5

Start page

2731

End page

2812

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
MATHGEOM  
Available on Infoscience
January 9, 2014
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/99113
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