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arXiv · 1901.05813

Harmonic $SU(3)$- and $G_2$-structures via spinors

Kamil Niedzialomski
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Abstract

In this note, using the spinorial description of $SU(3)$ and $G_2$-structures obtained recently by other authors, we give necessary and sufficient conditions for harmonicity of above mentioned structures. We describe obtained results on appropriate homogeneous spaces. Here, harmonicity means harmonicity of the unique section induced by a $G$-structure in consideration.

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Kamil Niedzialomski. 2019-01-17. Harmonic $SU(3)$- and $G_2$-structures via spinors. https://arxiv.org/abs/1901.05813

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