401-3531-00L  Differential Geometry I

SemesterAutumn Semester 2020
LecturersW. Merry
Periodicityyearly recurring course
Language of instructionEnglish
CommentAt most one of the three course units (Bachelor Core Courses)
401-3461-00L Functional Analysis I
401-3531-00L Differential Geometry I
401-3601-00L Probability Theory
can be recognised for the Master's degree in Mathematics or Applied Mathematics. In this case, you cannot change the category assignment by yourself in myStudies but must take contact with the Study Administration Office (www.math.ethz.ch/studiensekretariat) after having received the credits.


401-3531-00 VDifferential Geometry I
Starting in October, a mixed form of online and classroom teaching will be offered.
As of November, online for all students.
4 hrs
Mon14:15-16:00HG E 7 »
Wed14:15-16:00HG E 7 »
16.09.14:00-16:00ON LI NE »
21.09.14:00-16:00ON LI NE »
23.09.14:00-16:00ON LI NE »
28.09.14:00-16:00ON LI NE »
30.09.14:00-16:00ON LI NE »
05.10.14:15-16:00HG G 5 »
12.10.14:15-16:00HG G 5 »
W. Merry
401-3531-00 UDifferential Geometry I
Groups are selected in myStudies.
Thu 13-14 or Thu 14-15 or Thu 16-17 or Fri 13-14
1 hrs
Thu13:15-14:00HG D 5.2 »
14:15-15:00HG D 5.2 »
16:15-17:00ETZ E 6 »
Fri13:15-14:00HG F 3 »
W. Merry

Catalogue data

AbstractThis will be an introductory course in differential geometry.

Topics covered include:

- Smooth manifolds, submanifolds, vector fields,
- Lie groups, homogeneous spaces,
- Vector bundles, tensor fields, differential forms,
- Integration on manifolds and the de Rham theorem,
- Principal bundles.
LiteratureThere are many excellent textbooks on differential geometry. A friendly and readable book that covers everything in Differential Geometry I is:

John M. Lee "Introduction to Smooth Manifolds" 2nd ed. (2012) Springer-Verlag.

A more advanced (and far less friendly) series of books that covers everything in both Differential Geometry I and II is:

S. Kobayashi, K. Nomizu "Foundations of Differential Geometry" Volumes I and II (1963, 1969) Wiley.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits10 credits
ExaminersW. Merry
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationwritten 180 minutes
Written aidsNone
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

No public learning materials available.
Only public learning materials are listed.


401-3531-00 UDifferential Geometry I
Thu13:15-14:00HG D 5.2 »
Thu14:15-15:00HG D 5.2 »
Thu16:15-17:00ETZ E 6 »
G-04 oder G-ON 01
Fri13:15-14:00HG F 3 »


There are no additional restrictions for the registration.

Offered in

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Mathematics BachelorCore Courses: Pure MathematicsWInformation
Mathematics MasterBachelor Core Courses: Pure MathematicsE-Information
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Physics MasterSelection: MathematicsWInformation