Differential Geometry II/Differentialgeometrie II

Summer term 2024

Prof. Bernd Ammann, Office M 119



Current Announcements

Please register on GRIPS. We will send email announcements over this system.

Language/Sprache

This course is "English on demand". This means the language will be decided during the first week of the lecture. If there is at least one non-German-speaking person in the audience who is sincerely following the lecture, then the lecture will be given in English.

Recommended previous knowledge

Content of the Lecture

This lecture establishes relations between the topology of a smooth manifold and its curvature properties. This is a central question within Riemannian geometry. Probably, lecture notes will be written for this lecture.

The lecture builds on the lecture Differential Geometry I, where we have started to treat the first such relations. The main focus of the lecture is to understand

The precise content of the lecture will depend on the previous knowledge and the interests of the audience.

Literature

Lecture Notes will be probably published here.

Exercise group

There will be a weekly exercise sheet and a weekly exercise group. The exercise group is currently planned for Thursday 10-12 in M101.

The first exercise group will take place on Thursday, April 18th, and several notions of basic algebraic toplogy such as, fundamental groups, coverings (Überlagerungen), universal coverings, normal coverings, connections between subgroups of the fundamental groups and coverings, deck transformations, etc. will be recalled and discussed.

Exercise Sheets

and finally all exercise sheets in one pdf file.

Links to related web pages

Examination/Prüfung

The examination is an oral examination of about 30 minutes.

Formal criteria/Kriterien für Leistungsnachweise

We refer to the KVV.

Bernd Ammann, 23.05.2024
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