On Ricci identities for submanifolds in the 2-osculator bundle

Author(s):

Oana Alexandru

Message:
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 , d , curvatures

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:8 Issue: 2, Nov 2013
Pages:
1 to 21
https://www.magiran.com/p1186118