New examples of CR submanifolds for the $2$-jet determination problem
Complex Variables
2025-06-27 v1
Abstract
This paper addresses two questions related to mapping problems. In the first part of the paper, we discuss some recent results regarding the -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 in that is not strictly pseudoconvex and for which its germs of CR automorphisms are determined by their -jets at a given point.
Cite
@article{arxiv.2506.21221,
title = {New examples of CR submanifolds for the $2$-jet determination problem},
author = {Florian Bertrand and Martin Kolář and Francine Meylan},
journal= {arXiv preprint arXiv:2506.21221},
year = {2025}
}