AU - Broojerdian, N.
AU - Peyghan, E.
AU - Heydari, A.
TI - Differentiation along Multivector Fields
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 6
VI - 1
IP - 1
4099 - http://ijmsi.ir/article-1-195-en.html
4100 - http://ijmsi.ir/article-1-195-en.pdf
SO - IJMSI 1
ABĀ - The Lie derivation of multivector fields along multivector fields has been introduced by Schouten (see cite{Sc, S}), and studdied for example in cite{M} and cite{I}. In the present paper we define the Lie derivation of differential forms along multivector fields, and we extend this concept to covariant derivation on tangent bundles and vector bundles, and find natural relations between them and other familiar concepts. Also in spinor bundles, we introduce a covariant derivation along multivector fields and call it the Clifford covariant derivation of that spinor bundle, which is related to its structure and has a natural relation to its Dirac operator.
CP - IRAN
IN -
LG - eng
PB - IJMSI
PG - 79
PT - Research paper
YR - 2011