# Vorlesung Differentialgeometrie II

Wintersemester 2016/2017

### Lectures

- Wednesday 9:00-11:00 in INF 205, SR B
- Friday 9:00-11:00 in INF 205, SR 5

### Contact

Instuctor: Prof. Dr. Anna Wienhard, Dr. Gye-Seon Lee

Teaching assistant: Anna Schilling, Florian Stecker, Nicolaus Treib

### TA Sections

- Time: Wednesday 16:00-18:00
- Place: INF 205, SR C (except for 09.11.2016 and 30.11.2016)

INF 205, 3.300 (for 09.11.2016)

INF 205, 0.200 (for 30.11.2016)

### Description

We will study complete Riemannian manifolds by comparing the geometry of a general manifold with that of a model space of constant curvature.

### Prerequisites

Students should ideally have some background in differential geometry and algebraic topology.

### Müsli

Please register at MÜSLI.

### Office hours

Time | Place | |
---|---|---|

Prof. Dr. Anna Wienhard | Fri. 11:00-12:00 | INF 205, Room 03.309 |

Dr. Gye-Seon Lee | Wed. 15:00-16:00 | INF 205, Room 03.328 |

Please send a short e-mail to us before your visit.

### Homework

18. 10. 2016 | Homework 1 |

25. 10. 2016 | Homework 2 |

01. 11. 2016 | Homework 3 |

15. 11. 2016 | Homework 4 |

22. 11. 2016 | Homework 5 |

29. 11. 2016 | Homework 6 |

13. 12. 2016 | Homework 7 |

10. 01. 2017 | Homework 8 |

17. 01. 2017 | Homework 9 |

### Exam info

There will be an oral exam on the 1st of February.

### Language

This lecture will be taught in English.

### Reference

- O'Neill:
*Semi-Riemannian geometry with applications to relativity*. - do Carmo:
*Riemannian geometry*. - Ratcliffe:
*Foundations of hyperbolic manifolds*. - Martelli:
*An introduction to geometric topology*. - Thurston:
*Three-dimensional geometry and topology; Volume 1*. - Cheeger, Ebin:
*Comparison theorems in Riemannian geometry*. - Bridson, Haeflinger:
*Metric spaces of non-positive curvature*. - Ballmann, Gromov, Schroeder:
*Manifolds of nonpositive curvature*. - Eberlein:
*Geometry of nonpositively curved manifolds*. - Gallot, Hulin, Lafontaine:
*Riemannian Geometry*.

Last updated: 27.01.2017