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The subject will give a thoroughly introduction to differetiable manifolds. The course will contain topics like the tangent - and the cotangent bundle, vector fields and flows (ordinary differential equations), differential forms, integration. Topological applications will give examples of how analysis on a manifold depends of the global structure.
The course will give a common background for further studies in topology and geometry and also for parts of real and complex analysis. The course will give proper background for geometry which is important in modern mathematics and theoretical elementary particle physics.
To participate in this course you must have an admission to a Ph.D.-programme at a Norwegian University or University College.
If you do not have an admission to the Ph.D.-Programme in Science at The Faculty of Mathematics and Natural Sciences at UiO, you have to apply for hospitantstatus (norwegian text) . For more information, please contact the Department.
None.
MAT3500 - Topology / MAT4500 - Topology and MAT3510 - Geometric structures / MAT4510 - Geometric structures.
10 credits with MA252/352.
10 credits with MAT4520 - Manifolds.
*The information about the overlaps is not complete. Contact the Department for more information if necessary.
3 hours of lectures/exercises per week.
Oral exam.
Students are awarded either a passing or failing grade. The pass/fail scale is applied as an independent scale with only two possible results.
Visiting address:
Niels Henrik Abel's building, Moltke Moes vei
Postal address:
P.O.box 1053, Blindern
NO-0316 Oslo
Visiting hours:
Monday-friday 09:00-14:30
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