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3 hours ago history became hot network question
6 hours ago answer added Roland F timeline score: 4
21 hours ago comment added Nalline @QuaereVerum ah so you need the equivariance to make the chart-changes consistent? So since I have a global chart on $\mathbb{R}^2$, I am not "forced" to consider this representation? Then my example would indeed have been too simple
21 hours ago comment added Quaere Verum In differential geometry, you either have to define an object globally on a smooth manifold, or locally together with its transformation rules. Otherwise there's no globally defined object. You have defined the local object, but you haven't specified its transformation rules.
21 hours ago history asked Nalline CC BY-SA 4.0