On the properties of coframes
Mathematical Physics
2024-10-24 v1 math.MP
Rings and Algebras
Abstract
We consider injectivity and surjectivity of some maps on the exterior algebra of isomorphic finite-dimensional vector spaces. We prove the properties of the maps in full generality, for any dimension of the vector space and any subspace. We also draw a connection with the Palatini-Cartan formulation of General Relativity, for which these maps are of crucial importance.
Cite
@article{arxiv.2410.17682,
title = {On the properties of coframes},
author = {Giovanni Canepa},
journal= {arXiv preprint arXiv:2410.17682},
year = {2024}
}
Comments
Any comments are welcome. 15 pages