دوره 8، شماره 2 - ( 7-1392 )
جلد 8 شماره 2 صفحات 21-1 |
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Alexandru O. On Ricci identities for submanifolds in the 2-osculator bundle. IJMSI 2013; 8 (2) :1-21
URL: http://ijmsi.ir/article-1-500-fa.html
URL: http://ijmsi.ir/article-1-500-fa.html
On Ricci identities for submanifolds in the 2-osculator bundle. مجله علوم ریاضی و انفورماتیک. 1392; 8 (2) :1-21
چکیده:
It is the purpose of the present paper to outline an introduction in theory of embeddings in the 2-osculator bundle. First, we recall the notion of 2-osculator bundle ([9], [2], [4]) and the notion of submani-folds in the 2-osculator bundle ([9]). A moving frame is constructed. The induced connections and the relative covariant derivation are discussed in the fourth and fifth section ([15], [16]). The Ricci identities for the deflection tensors are presented in the seventh section.
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