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Prescribing geodesics and a variational problem for Riemannian metrics

math.DG · 2026-05-11 · unverdicted · novelty 7.0

A variational functional E on Riemannian metrics vanishes precisely when geodesics realize prescribed unparametrised paths, and every conformal class on a surface admits a unique (up to homothety) conformally critical metric for E.

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