New isometric solutions to the heterotic G2-system with non-abelian gauge groups are built on nilmanifolds and 3-Sasakian manifolds via a fixed-metric ansatz that also produces cases matching the characteristic connection.
Bryant,Some remarks onG 2-structures, Proceedings of Gökova Geometry-Topology Conference 2005, 2006.↑3, 4, 5
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Isometric solutions to the heterotic $\mathrm{G}_2$-system
New isometric solutions to the heterotic G2-system with non-abelian gauge groups are built on nilmanifolds and 3-Sasakian manifolds via a fixed-metric ansatz that also produces cases matching the characteristic connection.