We define isometric mapping so that its tangent mapping preserves(adsbygoogle = window.adsbygoogle || []).push({});

the scalar product of vectors from tangent space (the definition

doesn't refer explicite to notion of distance in the manifold).

Distance between two points of manifold is the length of geodesics

which joins them.

I wonder if it's true that isometric mapping preserves distances

on the manifold?

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# Distnace between points and isometric mapping

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