A homogeneous-pair framework computes curvatures, geodesics, and metric completions of conformal transformations, with new applications to G2 moduli and the Ebin metric.
Clarke, The metric geometry of the manifold of Riemannian metrics over a closed manifold, Calc
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Conformal transformations of the pseudo-Riemannian metric of a homogeneous pair
A homogeneous-pair framework computes curvatures, geodesics, and metric completions of conformal transformations, with new applications to G2 moduli and the Ebin metric.