Depending on the curvature of a certain manifold $M$, intuitively it is interesting to quantify how quickly normal coordinates defined at a point $p$ deteriorate away from $p$. Is there a standardized measure to quantify the actual size of the neighbourhood of $p$ the normal coordinates are valid in? If so, how is it calculated?
2026-02-23 08:39:33.1771835973
Standardized radius of validity of normal coordinates in differential geometry?
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