Difference between revisions of "Standard coordinates"

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Latest revision as of 22:32, 9 April 2015

Definition

For each nN the Euclidean space Rn is a smooth n-manifold with the smooth structure determined by the atlas determined by the single chart (Rn,IdRn)

This structure is the standard smooth structure on Rn and the resulting coordinate map yields the (so called) standard coordinates[1]

The only standard thing is that we deal with them already


References

  1. Jump up Introduction to smooth manifolds - John M Lee - Second Edition