I'm just learning manifold geometry and tensor analysis.From the things I've understood till now,an idea came into my mind but I can find it or its negation no where.So I came to ask it here.(adsbygoogle = window.adsbygoogle || []).push({});

I can't explain how I deduced this but I think there should be sth like a natural coordinate for a particular manifold.I mean sth that is the most suitable or maybe the only possible map for it to make an atlas.E.g. Cartesian coordinates for euclidean manifold and spherical polar coordinates for a spherical manifold.

And I should tell I've not even finished one book on manifold geometry so if I'm telling sth crazy here,I apologize.

Thanks in advance

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# Coordinates of a manifold

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