6 papers
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…
Group-Invariant CR maps of the sphere
Mona Al Batrouni, Florian Bertrand
We construct group-invariant CR maps from the unit sphere in and provide sharp bounds for the gap termination in this setting.
On the envelope of Poisson functional on almost complex manifolds
Florian Bertrand, Uroš Kuzman
We establish the plurisubharmonicity of the envelope of the Poisson functional on almost complex manifolds. That is, we generalize the corresponding result for complex manifolds an…
Construction of stationary discs for perturbations of decoupled submanifolds in
Mohammad Tarek Al Masri, Florian Bertrand, Jad Mchaimech +2
We construct generalized stationary discs to perturbations of decoupled real submanifolds of codimension in .
New examples of CR submanifolds for the -jet determination problem
Florian Bertrand, Martin KoláÅ, 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…
A sphericity criterion for strictly pseudoconvex hyper surfaces in via invariant curves
Florian Bertrand, Giuseppe Della Sala, Bernhard Lamel
We prove that if every chain on a strictly pseudoconvex hypersurface in coincides with the boundary of a stationary disc, then is locally spherical.