401-3533-70L  Topics in Riemannian Geometry

SemesterAutumn Semester 2021
LecturersU. Lang
Periodicitynon-recurring course
Language of instructionEnglish


401-3533-70 VTopics in Riemannian Geometry (Differential Geometry III)3 hrs
Mon14:15-16:00HG G 19.1 »
Wed13:15-14:00HG G 19.2 »
03.12.11:15-13:00HG G 19.2 »
U. Lang

Catalogue data

AbstractSelected topics from Riemannian geometry in the large: triangle and volume comparison theorems, Milnor's results on growth of the fundamental group, Gromov-Hausdorff convergence, Cheeger's diffeomorphism finiteness theorem, the Besson-Courtois-Gallot barycenter method and the proofs of the minimal entropy theorem and the Mostow rigidity theorem for rank one locally symmetric spaces.
Lecture notesLecture notes will be provided.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits6 credits
ExaminersU. Lang
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Admission requirementNot for students who already took 401-3533-70L Differential Geometry III (Autumn Semester 2020)
Mode of examinationoral 20 minutes
Additional information on mode of examinationLanguage of examination: English or German / Prüfungssprache: Deutsch oder Englisch
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

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Offered in

Doctoral Department of MathematicsGraduate SchoolWInformation
Mathematics MasterSelection: GeometryWInformation