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01454 Global Geometric Analysis
Danish title: Global geometrisk analyse

Type: Å, Language: EEE
Credit points: 5 point
Previous course: C0154
Offered by: Department of Mathematics (MAT)
No credit points with: C0154
Prerequisite: 01123.01244
Recommended semester: 4th -7th semester
Scope and form: 2 lecture modules and 1 hour of problem solving per week.
Examination: Written exam (13 point scale )
Contact person: Steen Markvorsen, MAT, Building 303, Tel. +45 4525 3049
Aim: To familiarize the student with the basic language of and some fundamental theories in Riemannian Geometry.
Contents: Manifolds. Tangent spaces. Vector fields and their flows. Riemannian manifolds. The curvature tensor. Tensor analysis. Examples showing the use of Mathematica and Maple. In addition an example taken from one of the following subjects: Global Riemannian Geometry; Differential Geometry in Physics; Calculus of Variations.