# Differential Geometry I

### (19202601)

Regular participation: at least 85% of participation in the tutorials is needed. Active participation: at least 60% of all possible points that can be earned in the homework assignements are needed.Type | Lecture |
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Instructor | Prof. Dr. Konrad Polthier, Yannic Wendt |

Language | English |

Room | Arnimallee 6 |

Start | Oct 19, 2021 | 12:15 PM |

end | Feb 17, 2022 | 02:00 PM |

Time | *Lecture: Tuesday, 12:00 - 14:00, via WebEx, Thursday, 12:00 - 14:00, via WebEx *Tutorials: Friday, 08:00 - 10:00, via WebEx |

Note | The lectures and the tutorials will be held in English on request. |

## Requirements

Analysis I-II,

Linear Algebra I & II

Differential geometry studies local and global properties of curved spaces.

**Topics of the lecture will be:**

- Curves and surfaces in Euclidean space
- Metrics and (Riemannian) manifolds
- Surface tension and notions of curvature
- Vector fields, tensors, covariant derivative
- Geodesic curves, exponential map
- Gauß-Bonnet theorem, curvature and topology
- Connection to discrete differential geometry

**Prerequisits: **Analysis I, II and Linear Algebra I, II