Differentiable Manifolds:
. Differential Forms
. Wedge Product
. Exterior Derivative
. Levi-Civita tensor
. Duality
. Hodge-Star operator
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Errata:
At 21:36 - 23:32 the last lines contain errors: the base of one forms {dx} must be substituted by a basis of vectors {∂}. See the corrected slides, pp 33-37:
https://www.physics.ntua.gr/konstant/GR/Notes/01/U01_Lecture_Differential_Forms_Slides.pdf
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Supplementary material for the undergraduate course “General Relativity and Cosmology” offered at the Physics Department of the School of Applied Mathematical and Physical Sciences of the National Technical University of Athens (NTUA).
Related page: http://physics.ntua.gr/konstant/GR/
Instructor:
Konstantinos N. Anagnostopoulos (spring 2023), Associate Professor of Physics, NTUA
http://physics.ntua.gr/konstant
