Mathematics: Specialised Course in Differential Geometry

Education facts

Code: MATM43

<p>The course is an alternatively compulsory course within the Master's programme in mathematics. The course gives an introduction to modern differential geometry, important for further studies in the subject and in relevant areas of physics, in particular connections with Einstein’s general relativity.</p><p>The course covers:</p> <ul> <li>Differentiable manifolds, their tangent spaces and tangent bundles.</li> <li>Riemannian metrics and their unique Levi-Civita connection.</li> <li>Geodesics and the important Riemann curvature tensor and its influence on the local geometry.</li> </ul><p>http://www.maths.lu.se/</p>

Entry requirements

For admission to the course, English 6/B as well as at least 90 credits, with at least 60 credits in mathematics are required, including knowledge corresponding to the courses MATB22 Linear Algebra 2, 7.5 credits, MATB23 Analysis in Several Variables 2, 7.5 credits, and MATM33 Differential Geometry, 7.5 credits.

Education offerings

Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.

• Mathematics: Specialised Course in Differential Geometry

  Lund University

  Start date: 19 January 2026

  End date: 7 June 2026

  Pace of study: 25 %