Consider a hypersurface in $\mathbb{R}^d$ with some connection (Levi-Civita if necessary). Does there exist some diffeomorphism into another hypersurface of $\mathbb{R}^d$ so that the mapped connection is the Levi-Civita connection induced by the Euclidean metric? How would one in principle find such a diffeomorphism?
2026-03-27 05:34:52.1774589692
Diffeomorphisms and connections
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