Volume 8, Issue 2 (10-2013)
IJMSI 2013, 8(2): 1-21 |
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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-en.html
URL: http://ijmsi.ir/article-1-500-en.html
Abstract:
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.
Keywords: nonlinear connection, linear connection, induced linear connection, d-torsions and d-curvatures.
Type of Study: Research paper |
Subject:
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