Canonical Submersion and Lie Homomorphisms Normal Subgroup

Abstract

Normal subgroup module f (module over the ring F = [f] 1, 2-diffeomorphisms) coincides with the kernel KerLf derivations along the field. The core consists of the trivial homomorphism (integrals of the system v = ˙x = f(t, x)) and bundles with zero switch group Lf , obtained from the condition ∇(ω ×f) = 0. There is the analog of the Liouville for trivial immersion. In this case, the core group Lf derivations along the field replenished elements V (z), such that ∇z = ω × f. Hence, the core group Lf updated elements helicoid (spiral) bundles, in particular, such that f = ∇U. System as an example Crocco shown that the canonical system does not permit the trivial embedding: the canonical system of equations are the closure of the class of systems that permit a submersion.