Torsion-free G2-structures with identical Riemannian metric
Torsion-free G2-structures with identical Riemannian metric
Based on a general formula due to Bryant, we work out the topological structure of the space of torsion-free [Formula: see text]-structures generating the same associated Riemannian metric on a compact [Formula: see text]-manifold. We also identify a corresponding Lie group-theoretic structure of the space. These observations are then used …