Vår 2026

MAT-3111 Differential Geometry 2 - 10 stp

The course is administrated by

Institutt for matematikk og statistikk

Type of course

The course is included in the study program Mathematical Sciences - master. It may also be taken independent of study program upon approval of the Department of mathematics and statistics.

Course overlap

MA-316 Analysis on manifolds 10 ects

Course contents

Vector bundles, connections, Riemannian geometry, symplectic geometry, vector distributions, jet-calculus, integration on manifolds and de Rham cohomology, Lie groups and algebras.

Admission requirements

Bachelor of science degree in mathematics or equal. Recommended prerequsites is MAT-3110 Differential Geometry 1 or a similar course in differential geometry.

Application code is 9371.

Objective of the course

The candidate shall:

obtain a solid knowledge and understanding of connections on vector bundles, various geometries including Riemannian and symplectic, their equivalences and invariants.
be able to perform calculations in concrete examples, using these concepts, in particular compute curvatures and symmetries of geometric structures.

Language of instruction

The language of instruction and the syllabus is English. Examination questions will be given in English, but may be answered either in English or a Scandinavian language.

Teaching methods

Lectures: 40 h Coursework: 30 h