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401-3533-70L 6 Credits DR , MSC D-MATH
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Topics in Riemannian Geometry

Lecturers & Examiners: Prof. Dr. Urs Lang
VVZ CR n/a

Last Updated: 2026-02-05 15:47:36

Abstract

Selected 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.

Resources

Lecture Notes

Lecture notes will be provided.

General Information

Language
English
Levels
DR , MSC

Examination

Type
session examination
Mode
oral 20 minutes
Language of examination: English or German / Prüfungssprache: Deutsch oder Englisch

Course Components

Type Title Time & Place Hours
lecture Topics in Riemannian Geometry (Differential Geometry III)
  • Mon 14:15-16:00 (HG G 19.1)
  • Wed 13:15-14:00 (HG G 19.2)
  • 03.12 Date 11:15-13:00 (HG G 19.2)
3 h weekly

Offered In

  • Mathematics Master
    • Electives (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 15 of the required 28 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
  • Doctoral Department of Mathematics (More Information at: The list of courses (together with the allocated credit points) eligible for doctoral students is published each semester in the newsletter of the ZGSM. WARNING: Do not mistake ECTS credits for credit points for doctoral studies!)