RT - Journal Article
T1 - Differentiation along Multivector Fields
JF - IJMSI
YR - 2011
JO - IJMSI
VO - 6
IS - 1
UR - http://ijmsi.ir/article-1-195-en.html
SP - 79
EP - 96
K1 - Clifford bundle
K1 - Dirac operator
K1 - Hodge Operator
K1 - Multivector field
K1 - Spinor bundle.
AB - 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.
LA eng
UL http://ijmsi.ir/article-1-195-en.html
M3 10.7508/ijmsi.2011.01.007
ER -