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401-3532-08L 10 Credits BSC , DR , MSC D-PHYS , D-MATH

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Differential Geometry II

Lecturers & Examiners: Dr. Will Merry

VVZ CR n/a

Last Updated: 2026-02-05 15:54:56

Abstract

This is a continuation course of Differential Geometry I.Topics covered include:- Connections and curvature,- Riemannian geometry,- Gauge theory and Chern-Weil theory.

Resources

Lecture Notes

I will produce full lecture notes, available on my website:https://www.merry.io/courses/differential-geometry/

Literature

There are many excellent textbooks on differential geometry. A friendly and readable book that contains everything covered in Differential Geometry I is: John M. Lee "Introduction to Smooth Manifolds" 2nd ed. (2012) Springer-Verlag. For Differential Geometry II, the textbooks: - S. Kobayashi, K. Nomizu "Foundations of Differential Geometry" Volume I (1963) Wiley, - I. Chavel, "Riemannian Geometry: A Modern Introduction" 2nd ed. (2006), CUP, are both excellent. The monograph - A. L. Besse "Einstein Manifolds", (1987), Springer, gives a comprehensive overview of the entire field, although it is extremely advanced. (By the end of the course you should be able to read this book.)

General Information

Language: English
Levels: BSC , DR , MSC
Frequency: Yearly recurring

Examination

Type: session examination
Mode: oral 30 minutes

Language of examination: English or German / Prüfungssprache: Deutsch oder Englisch

Course Components

Type	Title	Time & Place	Hours
lecture	Differential Geometry II At least in February and March and 1 April online via Zoom.	Mon 14:15-16:00 (HG D 1.1) Thu 10:15-12:00 (CAB G 11)	4 h weekly
exercise	Differential Geometry II Groups are selected in myStudies. Fri 9-10 or Fri 10-11	Fri 09:15-10:00 (HG E 1.1) Fri 10:15-11:00 (HG E 1.1)	1 h weekly

Offered In

Mathematics Bachelor
- Core Courses
  - Core Courses: Pure Mathematics
Physics Bachelor
- Selection of Higher Semester Courses
Mathematics Master
- Core Courses (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.)
  - Core Courses: Pure Mathematics
Physics Master
- Electives
  - Electives: Physics and Mathematics
    - Selection: Mathematics
High-Energy Physics (Joint Master with IP Paris)
- Electives
  - Optional Subjects in Mathematics
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!)
- Graduate School (Official website of the Zurich Graduate School in Mathematics:)