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Horizontal Subbundle on Lie Algebroids | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| مقاله 8، دوره 27، شماره 3، مهر 2016، صفحه 279-285 اصل مقاله (276.76 K) | ||
| نوع مقاله: Final File | ||
| نویسندگان | ||
| M. Tayyebi؛ A. Heydari | ||
| Department of pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Islamic Republic of Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Lie algebroid؛ Horizontal subbundle؛ Double Lie algebroid | ||
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