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[Merged by Bors] - feat(geometry/manifold): derivative of the zero section of the tangent bundle #4292
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I'm not too familiar with this part of mathlib, and this may already exist, but does it also make sense to add similar results about |
The results on smoothness of the projection are already there. For instance, lemma smooth_proj : smooth I.tangent I (proj I M) :=
basic_smooth_bundle_core.smooth_proj _ is already in |
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This looks good to me. I have suggested some docstring changes, covering mathematical points that occurred to me as I read the file and that therefore might be useful to someone else. Feel free to accept, reject, or re-work any of them.
Co-authored-by: hrmacbeth <25316162+hrmacbeth@users.noreply.github.com>
Co-authored-by: hrmacbeth <25316162+hrmacbeth@users.noreply.github.com>
Co-authored-by: hrmacbeth <25316162+hrmacbeth@users.noreply.github.com>
Thanks for your suggestions! |
Great! |
…t bundle (#4292) We show that the zero section of the tangent bundle to a smooth manifold is smooth, and compute its derivative. Along the way, some streamlining of supporting material.
Pull request successfully merged into master. Build succeeded: |
…t bundle (#4292) We show that the zero section of the tangent bundle to a smooth manifold is smooth, and compute its derivative. Along the way, some streamlining of supporting material.
We show that the zero section of the tangent bundle to a smooth manifold is smooth, and compute its derivative.
Along the way, some streamlining of supporting material.