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From the things I've read on manifold geometry,metric is a property of the manifold.Maybe you can call it intrinsic.
But consider e.g. a euclidean manifold and two coordinate systems on it.say,cartesian and spherical.As you know,the metric for this two coordinate systems is different.
So what?Is metric a property of manifold or coordinate system?
thanks
But consider e.g. a euclidean manifold and two coordinate systems on it.say,cartesian and spherical.As you know,the metric for this two coordinate systems is different.
So what?Is metric a property of manifold or coordinate system?
thanks
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