Differentialgeometrie I, Wintersemester 2024-25

Inhaltsbeschreibung / course description and syllabus

Moodle: https://moodle.hu-berlin.de/course/view.php?id=130564
(für Einschreibeschlüssel siehe Inhaltsbeschreibung oben / see course description and syllabus above for the enrolment key)

Vorlesungsskript / lecture notes
The lecture notes were last updated on 12.02.2025 and are now complete.
Note: After clicking on the link for the lecture notes, you may want to press the reload button to make sure you are seeing the most recent version.

Exam info (NEW)

The dates for final exams are:

  1. Wednesday, February 19 from 13:00 to 16:00 in RUD 26, room 0'310
    Results will be available via the moodle at the latest by the end of the day on Monday, 24.02.2025.
    Klausureinsicht: You can come by my office to see your graded exam on Tuesday, 25.02.2025 between 14:00 and 15:00.
  2. Monday, April 7 from 9:00 to 12:00 in RUD 26, 1'304
IMPORTANT: Be sure to observe the exam registration deadlines as dictated by the Prüfungsbüro!
Note for students unfamiliar with the system: You can freely choose to register for the first exam date or instead wait for the second date. If you fail on the first date, then the second date serves as a second chance. If you do not register for the first date and then fail on the second date, then you have to wait for the following year (when someone else will be teaching the course and its contents may be different) for an opporunity to try again.

Here is a practice exam.

As indicated in the instructions on the practice exam, the actual exam will be open book, so you will be allowed to use any non-electronic resources you bring with you (i.e. books and notes, but not smartphones). Any material that was covered in the lectures in this course should be considered examinable; all of it is in the lecture notes, though the notes also contain some non-examinable material that was never covered in lectures. The following specific sections of the notes may be considered non-examinable:

  • 11.4 (densities)
  • 18.7 (complex structures on real vector bundles)
  • 23.4 (geodesic completeness)
  • 23.5 (geodesics as a Hamiltonian system)
  • 25.4 (addendum on integrability in general)
  • 29.3 (addendum on polygons)
  • 30.4 (addendum on counting zeroes and the Euler class)

Übungsblätter / Problem sets

Problem sets will normally be posted in this spot every Wednesday and discussed in the problem session (Übung) the following week. They will not be collected or graded.


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