The bulbocerebellar circumolivary bundle

The bulbocerebellar circumolivary bundle

Correspondence The bulbocerebellar circumolivary bundle During the course of a systematic study on the human vertebrobasilar arterial system (De Caro et al. 1995), our attention was drawn in one case to a strange morphology of the ventrolateral aspect of one side of the medulla. While initially our impression was that we were facing an actual malformation, review of the structure of the brainst...

Choosing the Best Bundle of Projects: A DEA Approach

On Ricci identities for submanifolds in the 2-osculator bundle

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 Lie Algebra of Smooth Sections of a T-bundle

In this article, we generalize the concept of the Lie algebra of vector fields to the set of smooth sections of a T-bundle which is by definition a canonical generalization of the concept of a tangent bundle. We define a Lie bracket multiplication on this set so that it becomes a Lie algebra. In the particular case of tangent bundles this Lie algebra coincides with the Lie algebra of vector fie...

Tangent Bundle of the Hypersurfaces in a Euclidean Space

Let $M$ be an orientable hypersurface in the Euclidean space $R^{2n}$ with induced metric $g$ and $TM$ be its tangent bundle. It is known that the tangent bundle $TM$ has induced metric $overline{g}$ as submanifold of the Euclidean space $R^{4n}$ which is not a natural metric in the sense that the submersion $pi :(TM,overline{g})rightarrow (M,g)$ is not the Riemannian submersion. In this paper...