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FSF3671 Semi-riemannian Geometry 2 7.5 credits

Course offerings are missing for current or upcoming semesters.
Headings with content from the Course syllabus FSF3671 (Spring 2019–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

  • Basic general relativity corresponding to the last three chapters of the book “Semi-Riemannian Geometry” by Barrett O'Neill.

  • Witten's as well as Schoen and Yau's proof of the positive mass theorem.

  • The Yamabe problem.

Intended learning outcomes

After the course, the student should have a sufficiently deep knowledge of semi-riemannian geometry to be able to work on research projects in the areas of in the areas of mathematical general relativity, positive mass theorems, the Yamabe problem.

Literature and preparations

Specific prerequisites

Prerequisite for the course is strong knowledge of semi-Riemannian geometry corresponding for example to the gradute level course SF3670 “Semi-Riemannian geometry 1”.

Recommended prerequisites

No information inserted

Equipment

No information inserted

Literature

  • O'Neill, B. “Semi-Riemannian Geometry With Applications to Relativity”, Academic Press, Orlando 1983.

  • Schoen, R; Yau, S.-T. “Lectures on differential geometry”. Conference Proceedings and Lecture Notes in Geometry and Topology, I. International Press, Cambridge, MA, 1994.

  • Chrúsciel, P. T. “Lectures on Mathematical Relativity Beijing, July 2006”, lecture notes.

Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

P, F

Examination

  • HEM1 - Home assignments, 7.5 credits, grading scale: P, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Homework assignments and oral test or presentation.

Other requirements for final grade

Homework assignments completed, and satisfactory performance at oral test or presentation.

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted

Examiner

Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

Main field of study

This course does not belong to any Main field of study.

Education cycle

Third cycle

Add-on studies

No information inserted

Contact

Mattias Dahl (dahl@math.kth.se); Hans Ringström (hansr@kth.se)

Postgraduate course

Postgraduate courses at SCI/Mathematics