13 citations · 30 across the 19 of their papers we have counts for
21 papers
On the Levi map of nondegenerate CR submanifolds
Florian Bertrand, Francine Meylan
We investigate some of the properties of the Levi map and related objects for nondegenerate CR submanifolds in of codimension d.
Generalized stationary discs attached to degenerate submanifolds in
Mohammad Tarek Al Masri, Florian Bertrand, Francine Meylan +2
We study the family of generalized stationary discs attached to a Levi degenerate submanifold M of codimension d in . We show, under suitable geometric assumption…
New examples of CR submanifolds for the -jet determination problem
Florian Bertrand, Martin Kolář, Francine Meylan
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 biholomorphis…
Classification of polynomial models without 2-jet determination in
Petr Liczman, Martin Kolář, Francine Meylan
An intriguing phenomenon regarding Levi-degenerate hypersurfaces is the existence of nontrivial infinitesimal symmetries with vanishing 2-jets at a point. In this work we consider…
Characterization of real-analytic infinitesimal CR automorphisms for a class of hypersurfaces in
Cyril Julien, Francine Meylan
In this paper, motivated by the work of Kim and Kolar for the case of pseudoconvex models which are sums of squares of polynomials, we study the Lie algebra of real-analytic infini…
The 1-jet determination of stationary discs attached to generic CR submanifolds
Florian Bertrand, Francine Meylan
The existence of a nondefective stationary disc attached to a nondegenerate model quadric in C^N is a necessary condition to ensure the unique 1-jet determination of the lifts of a…