Liftings of linear vector fields to product preserving gauge bundle functors on vector bundles.
The second order transverse bundle of a foliated manifold carries a natural structure of a smooth manifold over the algebra of truncated polynomials of degree two in one variable. Prolongations of foliated mappings to second order transverse bundles are a partial case of more general -smooth foliated mappings between second order transverse bundles. We establish necessary and sufficient conditions under which a -smooth foliated diffeomorphism between two second order transverse bundles maps...
We study lightlike hypersurfaces of an indefinite Kaehler manifold of quasi-constant curvature subject to the condition that the characteristic vector field of is tangent to . First, we provide a new result for such a lightlike hypersurface. Next, we investigate such a lightlike hypersurface of such that (1) the screen distribution is totally umbilical or (2) is screen conformal.