Cartan lemma
From Encyclopedia of Mathematics
If for 
linear forms 
, 
, in 
variables the sum of the exterior products vanishes
 |
and if the 
are linearly independent, then the 
are linear combinations of the 
with symmetric coefficients:
 |
Proved by E. Cartan in 1899.
References
| [1] | E. Cartan, "Les systèmes différentielles extérieurs et leur applications géométriques" , Hermann (1945) |
Comments
The original paper containing this result is [a1].
References
| [a1] | E. Cartan, "Sur certaines expressions différentielles et le problème de Pfaff" Ann. Ec. Norm. (3) , 16 (1899) pp. 239–332 |
How to Cite This Entry:
Cartan lemma. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Cartan_lemma&oldid=12449
Cartan lemma. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Cartan_lemma&oldid=12449
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article