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  1. Definition of pullback. - Mathematics Stack Exchange

    Definition of pullback. Ask Question Asked 12 years, 6 months ago Modified 12 years, 6 months ago

  2. Pullback connection definition - Mathematics Stack Exchange

    Aug 27, 2024 · Pullback connection definition Ask Question Asked 1 year, 5 months ago Modified 1 year, 5 months ago

  3. understanding how to define pullback of differential forms

    Dec 16, 2022 · understanding how to define pullback of differential forms Ask Question Asked 3 years, 1 month ago Modified 3 years, 1 month ago

  4. Intuition about pullbacks in differential geometry

    The role of the pullback to integration is that it allows us to lift integration defined in Rn up to the manifold (provided we have the partition of unity to weave things together). Essentially the abstract …

  5. Pullback commutes with dual for locally free sheaf of finite rank

    Jan 23, 2015 · A bunch of tiny facts come together here - pullback commutes with direct sums, pullback takes the structure sheaf to the structure sheaf, pullback on functions is the original map on sheaves …

  6. How to calculate the pullback of a $k$-form explicitly

    I'm having trouble doing actual computations of the pullback of a k k -form. I know that a given differentiable map α: Rm → Rn α: R m → R n induces a map α∗: Ωk(Rn) → Ωk(Rm) α ∗: Ω k (R n) → …

  7. What is a pullback of a metric, and how does it work?

    The term "metric" is familiar, but not the idea of a pullback on it. I have tried to find intuitive, beginner-friendly explanations of this concept without success. Your attempts would be appreciat...

  8. Question about pullback and pushforward of sheaves

    Aug 8, 2023 · Question about pullback and pushforward of sheaves Ask Question Asked 2 years, 6 months ago Modified 2 years, 6 months ago

  9. Question about intersecting pullback of invertible sheaves by a ...

    Jun 9, 2021 · Question about intersecting pullback of invertible sheaves by a projective morphism. Ask Question Asked 4 years, 7 months ago Modified 3 years, 8 months ago

  10. Pullback of differential forms and determinant

    Oct 23, 2018 · I'm studying differential geometry using the book "Godinho Natàrio - An introduction to Riemannian Geometry". These are the definitions and theorems I'm working with: Definition 1 …