论文标题

关于$ G_2 $ - 结构的某些积分公式的评论

Remarks on some integral formulas for $G_2$-structures

论文作者

Cabrera, Francisco Martín

论文摘要

对于配备了$ G_2 $结构的七维的Riemannian歧管,我们以一种完整的详细方式显示,由多元化作者给出的所有积分公式和分歧方程式都与此处显示的$ g_2 $ structure的固有扭转表示同意。同样,这种内在扭转的成分也通过外部代数表示。

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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