Sub-Riemannian and Riemannian Structures on the Lie Algebroids

A Lie Algebroid is generalization of Lie Algebra for orbitrary vector bundle over a some manyfold. An Affinor Structure is generalization of Almost Complex Structure preserving the some symplectic form for fixed regular 1-form with nontrivial radical of orbitrary dimension. Unlike a Symplectic or Contact structure Afffinor Structure can be taken on any Lie Algebroid of any dimension, and the based 1-form can be degenerated having the radical of orbitrary dimension. These Affinor Structures generate a special Subriemannian and Riemannian structures on Lie Algebroids.