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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:
Manifolds
Subject:
Crediting for:
Hours per week:
3
Credits:
4,5
Language of instruction:
German and English
Min. | Max. participants:
- | -
Course Contents:
1. Differentiable manifolds, submanifolds, tangent bundle, embeddings, Whitney embedding theorem
2. vector fields, commutator, local flow , Frobenius theorem
3. differential forms, Stokes’ theorem.
Literature:
Lee: Introduction to smooth Manifolds
Warner: Foundations of differentiable manifolds and Lie groups
Boothby: An introduction to differentiable manifolds and Riemannian geometry
Preconditions:
Lineare Algebra 1/2, Analysis 1/2 , Integration theory, Ordinary Differential Equations
Expected Number of Participants:
Further Grading Information:
Official Course Description:
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