Yang-Mills bar connections over compact K\"ahler manifolds
From MaRDI portal
Publication:3094515
zbMATH Open1240.53118arXiv0805.0348MaRDI QIDQ3094515
Publication date: 25 October 2011
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.
Full work available at URL: https://arxiv.org/abs/0805.0348
File on IPFS (Hint: this is only the Hash - if you get a timeout, this file is not available on our server.)
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Variational problems in infinite-dimensional spaces (58E99)
This page was built for publication: Yang-Mills bar connections over compact K\"ahler manifolds
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q3094515)
