Yang-Mills connections on $G_{2}$-manifolds and Calabi-Yau 3-folds

Teng Huang

paper

Yang-Mills connections on $G_{2}$ -manifolds and Calabi-Yau 3-folds

arXiv:1502.02090

Abstract

We consider the minimum Yang-Mills energy on the complete $G_{2}$ -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 $G_{2}$ -instanton on $G_{2}$ -manifold and the bundle is holomorphic on Calabi-Yau 3-fold with holonomy $S U (3)$ .

This paper has been withdrawn by the author due to a crucial sign error in equation 3.15

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

Abstract

References in corpus (2)

Yang-Mills connections on $G_{2}$ -manifolds and Calabi-Yau 3-folds