Given $(X,d_i)$ a smooth compact connected submanifold with intrinsic distance $d_i$ embedded in $R^d$. Is it true that: $d_i(x,x')\leq K\Vert x-x' \Vert $ for some $K>0$? If that is the case, how can $K$ be related to the geometry of $X$?
2026-04-24 09:37:11.1777023431
Lipschitz normally embedded submanifold
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