Horizontal Subbundle on Lie Algebroids

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TAYYEBI M.; HEYDARI A.

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Journal Paper

Paper Information

Journal: Journal of Sciences, Islamic Republic of Iran Year:2016 | Volume:27 | Issue:3 Page(s): 279-285

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Information Journal Paper

Title

Horizontal Subbundle on Lie Algebroids

Author(s)

TAYYEBI M. | HEYDARI A. | Issue Writer Certificate

Keywords

Lie algebroid

Horizontal subbundle

Double Lie algebroid

Abstract

Providing an appropriate definition of a Horizontal subbundle of a Lie algebroid will lead to construction of a better framework on Lie algebriods. In this paper, we give a new and natural definition of a Horizontal subbundle using the prolongation of a Lie algebroid and then we show that any linear connection on a Lie algebroid generates a Horizontal subbundle and vice versa. The same correspondence will be proved for any covariant derivative on a Lie algebroid.

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APA: Copy

TAYYEBI, M., & HEYDARI, A.. (2016). Horizontal Subbundle on Lie Algebroids. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, 27(3), 279-285. SID. https://sid.ir/paper/718861/en

Vancouver: Copy

TAYYEBI M., HEYDARI A.. Horizontal Subbundle on Lie Algebroids. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN[Internet]. 2016;27(3):279-285. Available from: https://sid.ir/paper/718861/en

IEEE: Copy

M. TAYYEBI, and A. HEYDARI, “Horizontal Subbundle on Lie Algebroids,” JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, vol. 27, no. 3, pp. 279–285, 2016, [Online]. Available: https://sid.ir/paper/718861/en

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