Torsion form
From Encyclopedia of Mathematics
The covariant differential of the vector-valued 
-form of the displacement of an affine connection, the 
-form
 |
where 
is the connection form. The torsion form satisfies the first Bianchi identity:
 |
where 
is the curvature form of the given connection. The definition of a torsion form for reductive connections is analogous.
Comments
References
| [a1] | S. Kobayashi, K. Nomizu, "Foundations of differential geometry" , 1–2 , Interscience (1963) |
How to Cite This Entry:
Torsion form. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Torsion_form&oldid=39365
Torsion form. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Torsion_form&oldid=39365
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article