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Instructors: Prof. Dr. rer. nat. Karsten Große-Brauckmann
Event type:
Lecture & Exercise
Org-unit: Dept. 04 - Mathematics
Displayed in timetable as:
Riemannian Geom
Subject:
Crediting for:
Hours per week:
6
Language of instruction:
Englisch
Min. | Max. participants:
- | -
Course Contents:
Manifolds, vector fields; Riemannian metrics, parallel transport on submanifolds; Connections, geodesics, exponential map, Hopf-Rinow theorem, hyperbolic space; Curvature tensor, Myers theorem, Jacobi fields, Hadamard theorem
Literature:
Lee: Riemannian manifolds, an introduction to curvature
Gallot, Hulin, Lafontaine: Riemannian Geometry
DoCarmo: Riemannian Geometry
Preconditions:
recommended: Differential Geometry
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