- Lecturer:
- Joaquim Serra
- Coordinator:
- Tommaso Goldhirsch
- Time and Location:
- Monday, 14:15 - 16:00 in HG G 5

Thursday, 10:15 - 11:55 in CAB G 11

This is a continuation course of Differential Geometry I. Topics covered include: Introduction to Riemannian geometry: Riemannian manifolds, Levi-Civita connection, geodesics, Hopf-Rinow Theorem, curvature, second fundamental form, Riemannian submersions and coverings, Hadamard-Cartan Theorem, triangle and volume comparison, and isoperimetric inequalities.

Differential Geometry I (or basics of differentiable manifolds).

Lectures will take place in-person and will be live streamed. According to the current ETH Guidelines, wearing a maks is mandatory in places indoors.

The lecture will be streamed live on the ETH Video Portal.

Recordings will be available
here
on the morning of the following day.

Time | Room | Livestream |
---|---|---|

Monday 14:15-16:00 | HG G 5 | Livestream HG G 5 |

Thursday 10:15-11:55 | CAB G 11 | Livestream CAB G 11 |

See the official documentation for more tecnical informations.

The new exercise sheet will be uploaded on this page on Monday.
You are supposed to have a look at it before the exercise class, so that you can ask questions if you need to.
You have time until the following Monday at 12:15 to upload your solutions.

The first exercise sheet will be uploaded the **second** week of the semester.

**Please, upload your solution via the SAM upload tool.**

In order to access the website you will need a NETHZ-account and you will have to be connected to the ETH-network. From outside the ETH network you can connect to the ETH network via VPN. Here are instructions on how to do that.

Make sure that your solution is ** one PDF file** and that its file name is formatted in the following way:

` solution_<number of exercise sheet>_<your last name>_<your first name>.pdf `

**Example**:
` solution_2_Surname_Name.pdf`

.

Exercise Sheet | Due By | Upload Link | Solutions |
---|---|---|---|

Exercise Sheet 1 | March 7 | Upload Sheet 1 | Solution 1 |

Exercise Sheet 2 | March 14 | Upload Sheet 2 | Solution 2 |

Exercise Sheet 3 | March 21 | Upload Sheet 3 | Solution 3 |

Exercise Sheet 4 | March 28 | Upload Sheet 4 | Solution 4 |

Exercise Sheet 5 | April 4 | Upload Sheet 5 | Solution 5 |

Exercise Sheet 6 | April 11 | Upload Sheet 6 | Solution 6 |

Exercise Sheet 7 | April 25 | Upload Sheet 7 | Solution 7 |

Exercise Sheet 8 | May 9 | Upload Sheet 8 | Solution 8 |

Exercise Sheet 9 | May 16 | Upload Sheet 9 | Solution 9 |

Exercise Sheet 10 | May 23 | Upload Sheet 10 | Solution 10 |

Exercise Sheet 11 | May 30 | Upload Sheet 11 | Solution 11 |

The exercise classes will start the **second** week of the semester.
You can enrol in one exercise class on
MyStudies

Time | Room | Assistant | Language |
---|---|---|---|

Fr 09-10 | HG E 1.1 | Giovanni Ambrosioni | en |

Fr 10-11 | HG E 1.1 | Federico Franceschini | en |

- Manfredo P. do Carmo: Riemannian Geometry, Birkhäuser, 1992.
- I. Chavel: Riemannian Geometry: A Modern Introduction, 2nd Edition, 2006, CUP.
- S. Gallot, D. Hulin, J. Lafontaine: Riemannian Geometry, Springer, 2004.
- S. Kobayashi, K. Nomizu: Foundations of Differential Geometry, Volume I, Wiley, 1963.