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

Teng Huang

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arXiv · 1502.02090

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

Teng Huang

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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 $SU(3)$.

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BibTeX RIS

Teng Huang. 2015-10-15. Yang-Mills connections on $G_{2}$-manifolds and Calabi-Yau 3-folds. https://arxiv.org/abs/1502.02090

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