ΓΕ2 - Differential Geometry
Syllabus
- Topological and smooth manifolds.
- Tangent and cotangent bundles.
- Vector fields and their flows.
- Submanifolds and Frobenius’ Theorem.
- Vector bundles.
- Connection and parallel transport.
- Differential forms.
- De Rham cohomology.
- Integration.
- Stokes’ Theorem.