Weeks | Topics |
1 |
tangent vectors, vector fields, 1-forms
|
2 |
curves, differentiable maps
|
3 |
topologic and differentiable manifolds
|
4 |
immersions and submersions
|
5 |
submanifolds, some special manifolds
|
6 |
tensor fields, tensor algebra
|
7 |
isometries, levi-civita connections
|
8 |
middterm exam
|
9 |
geodesics, exponential maps
|
10 |
semi-riemann surfaces, semi-riemann manifolds
|
11 |
ricci and scalar curvature
|
12 |
semi-riemann product manifolds
|
13 |
semi-riemann hypersurfaces, semi-riemann submanifolds
|
14 |
final exam
|