Stationary discs and finite jet determination for non-degenerate generic real submanifolds

Abstract

Let M⊂CN be a generic real submanifold of class C4. In case M is Levi non-degenerate in the sense Tumanov, we construct stationary discs for M. If furthermore M satisfies an additional non-degeneracy condition, we apply the method of stationary discs to obtain 2-jet determination of CR automorphisms of M. © 2018 Elsevier Inc.