Geometry I - WS 2018/19

Instructor:
Dr. Christian Blohmann [1]

Tutors:
Lory Aintablian-Kadiyan
Xiaowen Dong
Thorben Kastenholz

Time and Place

Lecture
Tue: 14:00-16:00, Wegelerstr. 10 - Großer Hörsaal.
Wed: 16:00-18:00, Wegelerstr. 10 - Großer Hörsaal.

Exercise sessions
Mon: 10:00-12:00, Wegelerstr. 10 - Zeichensaal.
Mon: 12:00-14:00, Endenicher Allee 60 - N 0.007.
Mon: 14:00-16:00, Endenicher Allee 60 - SemR 0.006.

Course description

The course will equip the student with the knowledge of the basic concepts, methods, and results of differential geometry. These are the basis for other fields such as PDEs, geometric analysis, Lie theory, mathematical physics, etc. and enable the student to pursue more advanced directions in geometry such as symplectic or complex geometry. 

Bibliography

• John M. Lee: Introduction to Smooth Manifolds, Springer 2002.
• Jürgen Jost: Riemannian Geometry and Geometric Analysis, 6th edition, Springer 2011.
• Yvonne Choquet-Bruhat, Cecile DeWitt-Morette: Analysis, Manifolds and Physics, Part 1: Basics, revised edition, North Holland 1982.

Exams

1st exam: Wednesday, January 30, 2019, 16:00-18:00, Wegelerstr. 10 - Großer Hörsaal.
2nd exam: Thursday, March 28, 2019, 9:00-11:00, Wegelerstr. 10 - Kleiner Hörsaal.  

Exercise sheets

• Exercise sheet 1 [2] (10.10.2018)
• Exercise sheet 2 [3] (17.10.2018)
• Exercise sheet 3 [4] (24.10.2018)
• Exercise sheet 4 [5] (31.10.2018)
• Exercise sheet 5 [6] (07.11.2018)
• Exercise sheet 6 [7] (14.11.2018)
• Exercise sheet 7 [8] (21.11.2018)
• Exercise sheet 8 [9] (28.11.2018)
• Exercise sheet 9 [10] (05.12.2018)
• Exercise sheet 10 [11] (12.12.2018)
• Exercise sheet 11 [12] (19.12.2018)
• Exercise sheet 12 [13] (09.01.2019)
• Exercise sheet 13 [14] (16.01.2019)

Final exam 1 and solutions

• Final exam 1 [15]
• Solutions [16]

Final exam 2 and solutions

• Final exam 2 [17]
• Solutions [18]