DIFFERENTIATION ALONG MULTIVECTOR FIELDS

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BROOJERDIAN N.; PEYGHAN E.; HEYDARI A.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

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Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2011 | Volume:6 | Issue:1 Page(s): 79-96

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Information Journal Paper

Title

DIFFERENTIATION ALONG MULTIVECTOR FIELDS

Author(s)

BROOJERDIAN N. | PEYGHAN E. | HEYDARI A. | Issue Writer Certificate

Keywords

CLIFFORD BUNDLE

DIRAC OPERATOR

HODGE OPERATOR

MULTIVECTOR FIELD

SPINOR BUNDLE

Abstract

The Lie derivation of MULTIVECTOR FIELDs along MULTIVECTOR FIELDs has been introduced by Schouten (see [10, 11]), and studdied for example in [5] and [12]. 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.

Cites

ON RICCI IDENTITIES FOR SUBMANIFOLDS IN THE 2-OSCULATOR BUNDLE

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APA: Copy

BROOJERDIAN, N., PEYGHAN, E., & HEYDARI, A.. (2011). DIFFERENTIATION ALONG MULTIVECTOR FIELDS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 6(1), 79-96. SID. https://sid.ir/paper/310316/en

Vancouver: Copy

BROOJERDIAN N., PEYGHAN E., HEYDARI A.. DIFFERENTIATION ALONG MULTIVECTOR FIELDS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2011;6(1):79-96. Available from: https://sid.ir/paper/310316/en

IEEE: Copy

N. BROOJERDIAN, E. PEYGHAN, and A. HEYDARI, “DIFFERENTIATION ALONG MULTIVECTOR FIELDS,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 6, no. 1, pp. 79–96, 2011, [Online]. Available: https://sid.ir/paper/310316/en

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