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Differential geometry

The central objects in modern differential geometry are differentiable manifolds. Ideas and methods from differential geometry are fundamental in modern physical theories

Note that this is an old version of the course, in the spring of 2023 we will instead give the new version with course code MM7051, in which we have updated the requirements for eligibility. This new version will get a page in the course catalogue soon.

Syllabus for the new version MM7051 can be found in the archive

Course contents

The course covers differentiable manifolds and mappings, tangent vectors, vector bundles, differential forms, Stokes' theorem, de Rham cohomology, Riemannian metrics, curvature.

This course is given jointly with KTH, and information about schedule, course literature etc. can be found on KTH's pages - see links below.

  • Course structure

    The course consists of one element.

    Teaching format

    Instruction is given in the form of lectures and exercises.


    The course is assessed through written assignments and oral exam.


    A list of examiners can be found on

    Exam information

  • Schedule

    The schedule will be available no later than one month before the start of the course. We do not recommend print-outs as changes can occur. At the start of the course, your department will advise where you can find your schedule during the course.

    Schedule for SF2722 at KTH

    Note that semesters do not always start on the same day at Stockholm University and KTH, so this course may begin before the official first day of the semester at Stockholm University.

  • Course literature

    Note that the course literature can be changed up to two months before the start of the course.

    See course information for SF2722 at KTH

  • More information

    New student
    During your studies

    Note that if you have applied to and are admitted to this course, you register for the course at Stockholm University, not KTH.

    Course web

    The course web should be linked from this page before the start of the semester:

    Course web for SF2722

    If you are admitted to this course at Stockholm University this does not make you a KTH student and will not receive a KTH student account, but the course web should still be available without such an account.

  • Contact