LOCAL THREE-WEBS ADDED TO HAMILTON SYSTEMS ON A CОTANGENT BUNDLE ABOVE A SMOOTH MANIFOLD

Abstract

A one-parameter family of three-webs is put in accordance with the Hamilton system of differential equations on a cotangent bundle T* (M) above aт n dimensional differentiable manifold M, corresponding a Hamiltonian H, having n first integrals. The differentially algebraic properties of the constructed family of three-webs reflect the properties of the initial Hamilton system.

Keywords

• three-web
• cotangent bundle of a differentiable manifold
• Hamilton system of differential equations