Coframe Explained
is a system of
one-forms or
covectors which form a
basis of the
cotangent bundle at every point.
[1] In the
exterior algebra of
, one has a natural map from
, given by
vk:(\rho1,\ldots,\rhok)\mapsto\rho1\wedge\ldots\wedge\rhok
. If
is
dimensional, a coframe is given by a section
of
such that
. The inverse image under
of the complement of the zero section of
forms a
principal bundle over
, which is called the
coframe bundle.
References
- Manuel Tecchiolli. 2019. On the Mathematics of Coframe Formalism and Einstein-Cartan Theory -- A Brief Review. Universe. 5(10). Torsion Gravity. 206. 10.3390/universe5100206. 2008.08314. 2019Univ....5..206T. free.
See also
Notes and References
- Web site: Structure coefficients of a coframe . 2024-01-19 . Mathematics Stack Exchange . en.
