- The lectures will be given in English.
- Fridays, 8:00 - 10:00.
- The poster of the course can be found here.
- Office hours: by appointment.

- tuesday 28.11.2017 at 13:00,
- friday 01.12.2017 at 8:15, and
- tuesday 05.12.2017 at 13:00.

The following fridays there will be no class: 24.11.17, 15.12.17, 22.12.17.

Lecture number | Date | Content |

1 | 22.09.2017 | Smooth manifolds and smooth maps. |

2 | 29.09.2017 | Tangent space, the differential of a map, immersions and submersions. |

3 | 06.10.2017 | The tangent bundle, vector fields and the Lie bracket (I). |

4 | 13.10.2017 | Lie bracket (II) and partitions of unity. Riemannian metrics. |

5 | 20.10.2017 | Existence of metrics, (local) isometries, lengths of curves. |

6 | 31.10.2017 | Examples of lengths of curves and partitions of unity. The isometry group. |

7 | 03.11.2017 | Smooth group actions and quotients. Isometric actions. |

8 | 07.11.2017 | Riemannian quotients. Left-invariant metrics on Lie groups. |

9 | 14.11.2017 | Affine connections and the covariant derivative (I). |

10 | 17.11.2017 | The covariant derivative (II) and parallel transport. |

11 | 28.11.2017 | |

12 | 01.12.2017 | |

13 | 05.12.2017 | |

---- | ---- | ---- |

14 | 23.02.2018 |