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