Answer by Anton Petrunin for "Urban paths" in a Riemannian manifold
Let us modify the problem a bit.Consider all paths from $p$ to $q$.For each path $\gamma$, transport the frame along $\gamma$ and measure the $\ell^1$-length $\gamma$ --- the length of $\gamma$ in the...
View Article"Urban paths" in a Riemannian manifold
Fix a compact Riemannian manifold $M$, a base point $p\in M$, a basis $B$ for the tangent space $T_p$, and a destination $q$. The metric on $M$ determines its Levi-Civita connection. My goal consists...
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