Manifolds
Module MA5203
This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.
Basic Information
MA5203 is a semester module in English language at Master’s level which is offered irregular.
This module description is valid from WS 2010/1 to WS 2012/3.
| Total workload | Contact hours | Credits (ECTS) |
|---|---|---|
| 90 h | 30 h | 3 CP |
Content, Learning Outcome and Preconditions
Content
manifolds, (semi-) riemannian geometry, curvature theory, vector bundles, Lie groups.
Learning Outcome
At the end of the module students are able to apply the differential geometric concepts of differentiable manifolds. They are able to handle curved spaces using analytic methods.
Preconditions
MA1001 Analysis 1, MA1002 Analysis 2, MA1101 Linear Algebra 1, MA1102 Linear Algebra 2 or equivalent knowledge in linear algebra and analysis. MA2204 Elementary Differential Geometry is useful, but not necessary.
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
| Type | SWS | Title | Lecturer(s) | Dates | Links |
|---|---|---|---|---|---|
| VO | 2 | Manifolds | Hoffmann, T. |
documents |
Learning and Teaching Methods
Vorlesung, Übung, Übungsaufgaben zum Selbststudium
Media
Tafelarbeit
Literature
Barret O'Neil: semi-riemanian geometry with applications to relativity, Academic Press Inc. 1983, ISBN 0-12-526740-1.
S. W. Hawking and G. F. Ellis: The large scale structure of space-time, Cambridge University Press, 1973, ISBN 0-521-09906-4.
S. W. Hawking and G. F. Ellis: The large scale structure of space-time, Cambridge University Press, 1973, ISBN 0-521-09906-4.