Yang-Mills bar connections over compact K\"ahler manifolds
Differential Geometry
2010-07-20 v6
Abstract
In this note we introduce a Yang-Mills bar equation on complex vector bundles over compact Hermitian manifolds as the Euler-Lagrange equation for a Yang-Mills bar functional. We show the existence of a non-trivial solution of this equation over compact K\"ahler manifolds as well as a short time existence of the negative Yang-Mills bar gradient flow. We also show a rigidity of holomorphic connections among a class of Yang-Mills bar connections over compact K\"ahler manifolds of positive Ricci curvature.
Keywords
Cite
@article{arxiv.0805.0348,
title = {Yang-Mills bar connections over compact K\"ahler manifolds},
author = {Hong Van Le},
journal= {arXiv preprint arXiv:0805.0348},
year = {2010}
}
Comments
27 pages, some badly changes in notations of the last version has been reversed