Lecture 2
Topics
- Vectors + vector fields
- One forms + one form fields
- Tensors + tensor fields
- Tangent space \( T_P{\cal M} \), cotangent space \( T^*_P{\cal M} \), higher rank tensor spaces \( T^{(k,l)}_P{\cal M} \)
- Diffeomorphisms
- Lie derivatives
Bibliography
- Lecture slides: vectors
- Lecture slides: one forms + tensors
- Lecture slides: diffeomorphisms and Lie derivatives
Practicing
Videos
Related video lectures by the instructor. There is partial overlap with the course curriculum, use at your own discretion! Check the video lectures page for details...