Differential forms

Lecture course for magisters of Kyiv academic university, Autumn, 2024

  1. Introduction to differential forms. Differential forms on open subsets of euclidean spaces
    2024-09-05 | video | notes
  2. Skew-symmetric polylinear forms on vector spaces
    2024-09-12 | video | notes
  3. Differential forms of manifolds
    2024-09-19 | video | notes
  4. Linear Darboux lemma. Pull backs of polylinear forms
    2024-09-26 | video | notes
  5. Differential forms of manifolds
    2024-10-03 | video | notes
  6. Calculus of differential forms. Examples. Differential of a differential form
    2024-10-10 | video | notes
  7. Differential forms of the circle
    2024-10-17 | video | notes
  8. Repetition of all previous material
    2024-10-24 | video | notes
  9. Orientation of manifolds. Oriented double covering
    2024-10-31 | video | notes
  10. Parittion of unity
    2024-11-07 | video | notes
  11. Integral of differentil form on oriented manifold
    2024-11-14 | video | notes
  12. Manifolds with boundary. Stokes theorem
    2024-11-21 | video | notes
  13. Proof of Stokes theorem
    2024-11-28 | video | notes
  14. Poincare lemmas
    2024-12-05 | video | notes
  15. Poincare lemmas with compact support
    2024-12-12 | video | notes
  16. Applications of differential forms in complex analysis
    2024-12-19 | video | notes
  17. Problems lists
    | pdf1 | pdf2 | Питання до екзамену
CONTACTS

Algebra and Topology department
Institute of Mathematics of NAS of Ukraine
Str. Tereshchenkivska, 3
Kyiv, 01024 Ukraine
Email: maks@imath.kiev.ua

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