LOG#244. Cartan calculus.

I am going to review the powerful Cartan calculus of differential forms applied to differential geometry. In particular, I will derive the structure equations and the Bianchi identities. Yes! Firstly, in a 2-dim manifold, we and introduce the Cartan 1-forms … Continue reading

LOG#166. D-dimensional laws(I).

My next thread of nested articles are aimed to explore (shallowly, only) the issue of extra dimensions (of space and time!). Let me begin with the Gauss law for the electric field. The electrical flux in D-dimensional space reads, for … Continue reading