Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1390
2
1
gregorian
2011
5
1
6
1
online
1
fulltext
en
Differentiation along Multivector Fields
عمومى
General
پژوهشي
Research paper
<p>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.</p>
Clifford bundle, Dirac operator, Hodge Operator, Multivector field, Spinor bundle.
79
96
http://ijmsi.ir/browse.php?a_code=A-10-1-93&slc_lang=en&sid=1
N.
Broojerdian
`10031947532846002165`

10031947532846002165
Yes
E.
Peyghan
`10031947532846002166`

10031947532846002166
No
A.
Heydari
`10031947532846002167`

10031947532846002167
No