Yang-Mills bar connections over compact Kähler manifolds

Details Yang-Mills bar connections over compact Kähler manifolds Yang-Mills bar connections over compact Kähler manifolds

2008-05-05

arxiv.org/abs/0805.0348v6

Archivum Math. 46(2010), 47-69

Mathematics

Differential Geometry

27 pages, some badly changes in notations of the last version has been reversed

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Yang-Mills bar connections over compact Kähler manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Yang-Mills bar connections over compact Kähler manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Yang-Mills bar connections over compact Kähler manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-208309