FMVE175 Riemannian geometry and Yang-Mills Theory I

Kursens poäng (högskolepoäng, hp) 7.5
Kursen ges normalt When there are enough interest and a sufficient number of students
Tillhör forskarskola
Tillhör institution Matematiska vetenskaper
Kursansvarig
Contact Måns Henningson or Genkai Zhang
Kursbeskrivning
The course consists of two parts, Riemannian Geometry I, followed by Yang-Mills theory II. Each part can be taken independently provided the prerequisites are fulfilled. However, it is encouraged that students take both parts.

Differentiable manifolds, Riemannian metrics and manifolds, connections, curvature tensors, geodesics, Lie groups and Mauer-Cartan equations, Gauss-Bonnet theorem, Gauss maps.
Litteratur
Boothby, Introduction to differentiable manifolds and Riemannian Geometry
Helgason, Differential Geometry, Lie Groups and Symmetric Spaces
Hörmander, Riemannian Geometry

Publicerad: ti 29 jan 2013.