Purely coclosed G$_{\mathbf2}$-structures on 2-step nilpotent Lie groups

29 Jun 2020 del Barco Viviana Moroianu Andrei Raffero Alberto

We consider left-invariant (purely) coclosed G$_2$-structures on 7-dimensional 2-step nilpotent Lie groups. According to the dimension of the commutator subgroup, we obtain various criteria characterizing the Riemannian metrics induced by left-invariant purely coclosed G$_2$-structures... (read more)

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