Differential forms

Lecture course for magisters of Kyiv Academic University, Autumn, 2022

  1. Differential form in R^n
    2022-09-30 video
  2. Operations over differential forms
    2022-10-07 video
  3. Tensor products
    2022-10-14 video
  4. Tensor and external products
    2022-10-21 video
  5. Differentiable manifolds
    2022-10-28 video
  6. Tangent bundle to a manifold, 1
    2022-11-04 video
  7. Tangent bundle to a manifold, 2
    2022-11-06 video1 video2
  8. Mayer–Vietoris sequence
    2022-11-11 video1
  9. Partition of unity
    2022-11-18 video1
  10. Integration of differential forms. Stokes theorem, 1
    2022-11-25 video1
  11. Integration of differential forms. Stokes theorem, 2
    2022-12-02 video1
  12. Stokes theorem, 3
    2022-12-09 video1
  13. Poincare lemma
    2022-12-16 video1
  14. Poincare lemma with compact supports
    2022-12-16 video1
CONTACTS

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

Developed by Sergiy Maksymenko - 2022 - Jekyll - Bootstrap