Sub-Riemannian (2, 3, 5, 6)-Structures
Sub-Riemannian (2, 3, 5, 6)-Structures
Abstract We describe all Carnot algebras with growth vector (2, 3, 5, 6), their normal forms, an invariant that separates them, and a change of basis that transforms such an algebra into a normal form. For each normal form, Casimir functions and symplectic foliations on the Lie coalgebra are computed. …