Ruprecht-Karls-Universität Heidelberg
Siegel der Universität Heidelberg

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[Differential Geometry I] - [2015 Sommer]

Module Code
Differential Geometry I
Credit Points
8 CP
240 h
1 semester
Methods Methods 4 h + Exercise course 2 h
Objectives Command of basic notions and methods in differential geometry. Ability to apply methods from analysis and algebra to problems in geometry.
Content Differentiable manifolds, (Semi-)Riemannian manifolds, connections, geodesics, curvature
Learning outcomes Ability to solve problems in differential geometry and to present these solutions in problem sessions
Suggested previous knowledge Mathematics Bachelor
Assessments Homework assignments, written or oral exam. Modalities for make-up exams are to be determined by the lecturer and will be announced at the beginning of the course.
Literature Do Carmo: Riemannian Geometry
Gallot-Hulin-Lafontaine: Riemannian Geometry
Gromoll-Klingenberg-Meyer: Riemannsche Geometrie im Großen
Kobayashi-Nomizu: Foundations of Differential Geometry
Petersen: Riemannian Geometry
Spivak: Differential Geometry
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