New examples of CR submanifolds for the 2-jet determination problem
Abstract
Abstract This paper addresses two questions related to mapping problems. In the first part of the paper, we discuss some recent results regarding the 2-jet determination for biholomorphisms between smooth (weakly) pseudoconvex hypersurfaces; in light of those, we formulate a general problem and illustrate it with examples. In the second part of the paper, we provide a new example of a real submanifold of codimension 7 in $$\mathbb {C}^{10}$$ C 10 that is not strictly pseudoconvex and for which its germs of CR automorphisms are determined by their 2-jets at a given point.
Fields of Study & Subjects
Holomorphic and Operator Theory
Point processes and geometric inequalities
Advanced Harmonic Analysis Research
Publication details
- Journal / source
- Complex Analysis and its Synergies
- Publisher
- Springer Science and Business Media LLC
- Volume
- 12
- Issue
- 3
- Publication date
- 28 July 2026
- Language
- EN