Yang-Mills connections on G₂-manifolds and Calabi-Yau 3-folds

2015/02/07 by Teng Huang, Huang, Teng
Mathematics · Physics and Astronomy · #53C07 #58E15 #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Physics (math-ph) #math-ph #math.DG #math.MP #msc:53C07 #msc:58E15

paper · pdf · doi:10.48550/arxiv.1502.02090

This paper has been withdrawn by the author due to a crucial sign error in equation 3.15

openalex publication_date 2015/02/07 · arxiv created 2015/10/15 · arxiv updated 2015/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the minimum Yang-Mills energy on the complete G₂-manifolds and Calabi-Yau 3-folds,the connection A is a stability Yang-Mills connection on the G-bundle E.We prove that the connection must be a G₂-instanton on G₂-manifold and the bundle is holomorphic on Calabi-Yau 3-fold with holonomy SU(3).

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