MAT9590 – Differential Geometry
Schedule, syllabus and examination date
Changes in the course due to coronavirus
As a general rule, exams at the MN Faculty will during the autumn of 2021 be conducted without physical attendance. For reasons relating to the course content, some courses will have on-campus written examination if the current infection rate makes this possible.
The semester page for your course will be updated with any changes in the form of examination. See also more information about examination at the MN Faculty in 2021.
Introduction to Riemannian geometry. Riemannian connections, curvature and geodesics. Applications to submanifolds and to the connection between topology and curvature.
The course aims to give a proper background in differential geometry for applications in theoretical physics and for further studies in geometry/geometrical analysis.
Admission to the course
PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.
If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.
PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.
Recommended previous knowledge
- 10 credits overlap with MAT4590 – Differential Geometry.
- 10 credits overlap with MAT9550 – Differential geometry (discontinued).
- 10 credits overlap with MA392.
4 hours of lectures/exercises per week throughout the semester.
The course may be taught in Norwegian if the lecturer and all students at the first lecture agree to it.
Upon the attendance of three or fewer students, the lecturer may, in conjunction with the Head of Teaching, change the course to self-study with supervision.
Final oral exam which counts 100 % towards the final grade.
This course has 1 mandatory assignment that must be approved before you can sit the final exam.
In addition, each PhD candidate is expected to give an oral presentation on a topic of relevance chosen in cooperation with the lecturer. The presentation has to be approved by the lecturer before you can sit the final exam.
It will also be counted as one of the three attempts to sit the exam for this course, if you sit the exam for one of the following courses: MAT4590 – Differential Geometry
Examination support material
No examination support material is allowed.
Language of examination
Courses taught in English will only offer the exam paper in English. You may write your examination paper in Norwegian, Swedish, Danish or English.
Grades are awarded on a pass/fail scale. Read more about the grading system.
Resit an examination
This course offers both postponed and resit of examination. Read more: