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401-3532-DRL 3 Credits DR D-MATH

Differential Geometry II

Lecturers & Examiners: Dr. Peter Hintz
Only for ZGSM (ETH D-MATH and UZH I-MATH) doctoral students. The latter need to register at myStudies and then send an email to with their name, course number and student ID. Please see
VVZ CR n/a

Last Updated: 2026-02-05 16:37:27

Abstract

This is a continuation course of Differential Geometry I. Topics covered include:Introduction to Riemannian geometry: Riemannian manifolds, Levi-Civita connection, geodesics, Hopf-Rinow Theorem, curvature, second fundamental form, Riemannian submersions and coverings, Hadamard-Cartan Theorem, triangle and volume comparison.

Objective

Providing an introductory invitation to Riemannian geometry.

Resources

Literature

- M. P. do Carmo, Riemannian Geometry, Birkhäuser 1992 - S. Kobayashi, K. Nomizu "Foundations of Differential Geometry" Volume I, Wiley 1963 - B. O'Neill, Semi-Riemannian Geometry With Applications to Relativity, Academic Press 1983

Learning Materials (Links)

General Information

Language
English
Levels
DR
Frequency
Yearly recurring

Examination

Type
ungraded semester performance

Registration & Places

Priority: Registration for the course unit is only possible for the primary target group

Course Components

Type Title Time & Place Hours
lecture Differential Geometry II
  • Mon 14:15-16:00 (HG G 5)
  • Thu 10:15-12:00 (CAB G 11)
4 h weekly
exercise Differential Geometry II
Groups are selected in myStudies. Fri 10-11 or Fri 11-12
  • Fri 10:15-11:00 (HG D 5.2)
  • Fri 11:15-12:00 (HG D 5.2)
1 h weekly

Offered In