Changes between Initial Version and Version 1 of Ticket #31324, comment 8


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Timestamp:
Feb 3, 2021, 6:31:43 PM (20 months ago)
Author:
Eric Gourgoulhon
Comment:

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  • Ticket #31324, comment 8

    initial v1  
    55> That's not true. The polar coordinates are defined only on `A`, which is a real subset of `S^1`. `A` is diffeomorphic to `R`, `S^1` is still not.
    66
    7 Anyway, it would be good, at least for pedagogical purposes, that objects returned by `manifolds.Sphere(n)` come with a minimal atlas that covers the whole manifold, e.g. an atlas with the two stereographic charts. I understand that there is a performance issue for `n` large. To circumvent this, we could add an option like `complete_atlas=True`, so that if some user does not want to construct the stereographic charts and their transition map when initializing the manifold, he/she could set this option to `False`.
     7Anyway, it would be good, at least for pedagogical purposes, that objects returned by `manifolds.Sphere(n)` come with a minimal atlas that covers the whole manifold, e.g. an atlas with the two stereographic charts. I understand that there is a performance issue for `n` large. To circumvent this, we could add an option like `complete_atlas=True`, so that if some user does not want to construct the stereographic charts and their transition maps when initializing the manifold, he/she could set this option to `False`.