On Ricci identities for submanifolds in the 2-osculator bundle

Details On Ricci identities for submanifolds in the 2-osculator bundle On Ricci identities for submanifolds in the 2-osculator bundle

2009-07-07

arxiv.org/abs/0907.1154v1

Mathematics

Differential Geometry

Scientific paper

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 and the notion of submanifolds in the 2-osculator bundle. A moving frame is constructed. The induced connections and the relative covariant derivation are discussed in third and fourth sections.The Ricci identities for the deflection tensor are present in the next section.

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