A classification of conformal vector fields on the tangent bundle

conformal vector fields on tangent bundle with a special lift finsler metric*

on a finsler manifold, we define conformal vector fields and their complete lifts and prove that incertain conditions they are homothetic.

A Characterization of the Infinitesimal Conformal Transformations on Tangent Bundles

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...

Vector Fields Tangent to Foliations

We investigate in this paper the topological stability of pairs (ω,X), where ω is a germ of an integrable 1-form and X is a germ of a vector field tangent to the foliation determined by ω.

a characterization of the infinitesimal conformal transformations on tangent bundles