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27.07.2020

Mathematik

Lecture 19: Geodesics & curvature of pseudo-Riemannian submanifolds

Dr. David Lindemann

Differential geometry, summer semester 2020, lecture 19: Geodesics & curvature of pseudo-Riemannian submanifolds

further info: https://www.math.uni-hamburg.de/home/lindemann/diffgeo_SS2020_lindemann.html

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Here you can find the lecture video for the course "Differentialgeometry" (English: differential geometry) in the summer semester 2020. For more information, download links, additional material, exercise sheets, and possible errata see

https://www.math.uni-hamburg.de/home/lindemann/diffgeo_SS2020_lindemann.html

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Series

27.07.2020

Lecture 19: Geodesics & curvature of pseudo-Riemannian submanifolds

Dr. David Lindemann
16.07.2020

Lecture 18: Curvature

Dr. David Lindemann
05.07.2020

Lecture 17: Geodesics and the exponential map

Dr. David Lindemann
26.06.2020

Lecture 16: Parallel transport and the Levi-Civita connection

Dr. David Lindemann
17.06.2020

Lecture 15: Connections in vector bundles

Dr. David Lindemann
12.06.2020

Lecture 14: Local frames and Killing vector fields

Dr. David Lindemann
08.06.2020

Lecture 13: Traces, raising and lowering indices, and vector bundles along pseudo-Riemannian submanifolds

Dr. David Lindemann
05.06.2020

Lecture 12: Pseudo-Riemannian manifolds

Dr. David Lindemann
26.05.2020

Lecture 11: Tensor bundles and tensor fields

Dr. David Lindemann
22.05.2020

Lecture 10: Dual bundles, 1-forms, and the Whitney sum

Dr. David Lindemann
19.05.2020

Lecture 9: Infinitesimal generators of one parameter groups of diffeomorphisms and the Lie derivative of vector fields

Dr. David Lindemann
15.05.2020

Lecture 8: Lie bracket of vector fields, integral curves, flows

Dr. David Lindemann
12.05.2020

Lecture 7: The tangent bundle

Dr. David Lindemann
08.05.2020

Lecture 6: Vector bundles

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05.05.2020

Lecture 5: Submanifolds

Dr. David Lindemann
01.05.2020

Lecture 4: Tangent spaces (part 2)

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27.04.2020

Lecture 3: Tangent spaces (part 1)

Dr. David Lindemann
24.04.2020

Lecture 2: Smooth maps and the IFT

Dr. David Lindemann
20.04.2020

Lecture 1: Smooth manifolds

Dr. David Lindemann