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arXiv · 2204.12838

Remarks on some integral formulas for $G_2$-structures

Francisco Martín Cabrera
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Abstract

For seven-dimensional Riemannian manifolds equipped with a $G_2$-structure, we show in a full detailed way that all integral formulas and divergence equations, given by diverse authors, are agree with the ones displayed here in terms of the intrinsic torsion of the $G_2$-structure. Likewise the components of such an intrinsic torsion is expressed by means of exterior algebra.

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Francisco Martín Cabrera. 2022-04-27. Remarks on some integral formulas for $G_2$-structures. https://arxiv.org/abs/2204.12838

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