LFU:online

The geometric meaning of the notions velocity, acceleration, and force field should become clearer, by making explicit the necessary absolute space time  structures.  The invariances of the space time structures together with its physical consequences should be understood firmly.

The lecture extends the VU Differential forms in Physics of SS 16.

Content:  Lie derivative of tensor fields; The Killing vector field of a pseudoriemannian Manifold; Integration of differential forms or densities on a manifold with or without an orientation; Stokes' theorem; coordinatefree Newtonian mechanics; coordinatefree Einsteinian mechanics;

Blach board presentation 

Written exam

K Jänich, Vektoranalysis, Springer, 1993

R H Wasserman, Tensors and Manifolds, Oxford UP, 2004

R L Bishop, S I Goldberg, Tensor Analysis on Manifolds, Dover Publ, 1980

A firm knowledge of the contents of the VU 'Differential forms in physics' from SS 2016 is taken for granted.