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arXiv · 0805.0348

Yang-Mills bar connections over compact Kähler manifolds

Hong Van Le
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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 Kähler 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 Kähler manifolds of positive Ricci curvature.

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Hong Van Le. 2009-06-27. Yang-Mills bar connections over compact Kähler manifolds. https://arxiv.org/abs/0805.0348

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