| Type: | Ph.D.-level, Open University
Language: English |
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Previous course: C0154
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No credit points with: C0154
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Prerequisite: 01123.01244
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Recommended semester: 4th -7th semester
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Scope and form: 2 lecture modules and 1 hour of problem solving per week.
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Examination: Project report (13-scale)
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Department: Department of Mathematics
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Aim: To familiarize the student with the basic language of and some fundamental theories in Riemannian Geometry.
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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.
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