401-3531-00L Differential Geometry I
| Semester | Autumn Semester 2020 |
| Lecturers | W. Merry |
| Periodicity | yearly recurring course |
| Language of instruction | English |
| Comment | At most one of the three course units (Bachelor Core Courses) 401-3461-00L Functional Analysis I 401-3531-00L Differential Geometry I 401-3601-00L Probability Theory can be recognised for the Master's degree in Mathematics or Applied Mathematics. In this case, you cannot change the category assignment by yourself in myStudies but must take contact with the Study Administration Office (www.math.ethz.ch/studiensekretariat) after having received the credits. |
Courses
| Number | Title | Hours | Lecturers | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 401-3531-00 V | Differential Geometry I "Hybrid" Starting in October, a mixed form of online and classroom teaching will be offered. As of November, online for all students. | 4 hrs | W. Merry | |||||||||||||
| 401-3531-00 U | Differential Geometry I Groups are selected in myStudies. Thu 13-14 or Thu 14-15 or Thu 16-17 or Fri 13-14 | 1 hrs |
| W. Merry |
Catalogue data
| Abstract | This will be an introductory course in differential geometry. Topics covered include: - Smooth manifolds, submanifolds, vector fields, - Lie groups, homogeneous spaces, - Vector bundles, tensor fields, differential forms, - Integration on manifolds and the de Rham theorem, - Principal bundles. |
| Objective | |
| Literature | There are many excellent textbooks on differential geometry. A friendly and readable book that covers everything in Differential Geometry I is: John M. Lee "Introduction to Smooth Manifolds" 2nd ed. (2012) Springer-Verlag. A more advanced (and far less friendly) series of books that covers everything in both Differential Geometry I and II is: S. Kobayashi, K. Nomizu "Foundations of Differential Geometry" Volumes I and II (1963, 1969) Wiley. |
Performance assessment
| Performance assessment information (valid until the course unit is held again) | |
Performance assessment as a semester course | |
| ECTS credits | 10 credits |
| Examiners | W. Merry |
| Type | session examination |
| Language of examination | English |
| Repetition | The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit. |
| Mode of examination | written 180 minutes |
| Written aids | None |
| This information can be updated until the beginning of the semester; information on the examination timetable is binding. | |
Learning materials
| No public learning materials available. | |
| Only public learning materials are listed. |
Groups
| 401-3531-00 U | Differential Geometry I | ||||||
| Groups | G-01 |
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| G-02 |
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| G-03 |
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| G-04 oder G-ON 01 |
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Restrictions
| There are no additional restrictions for the registration. |
