| Area of Mathematics: | Algebra and Geometry (EAG) | ||
| Semester: | 6ο | ||
| Course ID: | 62202 | ||
| Course Type: | Elective | ||
| Teaching hours per week: | Theory: 4 | Practice: 0 | Laboratory: 0 |
| ECTS : | 5 | ||
| Eclass: | For the course’s material, click here. | ||
| Instructors: | Statha Marina |
Description
- Differential manifolds, topology of manifolds, examples.
- Tangent space, derivations, the differential of a smooth map at a point. Tangent bundle, the derivate of a smooth map.
- Vector fields, Lie bracket, invariant vector fields, integrable curves of vector fields, flows.
- Lie groups. The Lie algebra of a Lie group. Exponential map of a Lie group, normal chart.
Bibliography
- Tu An Introduction to Manifolds, 2nd edition Springer 2015.
- B. Thomas Introduction to Differential Manifolds, Imperial College Press.
