A homogeneous-pair framework computes curvatures, geodesics, and metric completions of conformal transformations, with new applications to G2 moduli and the Ebin metric.
Clarke, Geodesics, distance, and the CAT(0) property for the manifold of Riemannian metrics, Math
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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.