TY - JOUR
T1 - Differentiation along Multivector Fields
TT -
JF - IJMSI
JO - IJMSI
VL - 6
IS - 1
UR - http://ijmsi.ir/article-1-195-en.html
Y1 - 2011
SP - 79
EP - 96
KW - Clifford bundle
KW - Dirac operator
KW - Hodge Operator
KW - Multivector field
KW - Spinor bundle.
N2 - 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.
M3 10.7508/ijmsi.2011.01.007
ER -