Czechoslovak Mathematical Journal, first online, pp. 1-20
Stability of certain Engel-like distributions
Received March 2, 2020. Published online December 18, 2020.
Abstract: We introduce a higher dimensional analogue of the Engel structure, motivated by the Cartan prolongation of contact manifolds. We study the stability of such structure, generalizing the Gray-type stability results for Engel manifolds. We also derive local normal forms defining such a distribution.
Keywords: Engel structure; Cartan prolongation; global stability; nonholonomic distribution; normal form