13 citations · 15 across the 7 of their papers we have counts for
8 papers · 1 filter
Stationary discs and finite jet determination for non-degenerate generic real submanifolds
Florian Bertrand, Léa Blanc-Centi, Francine Meylan
In case M is Levi non-degenerate in the sense Tumanov, we construct stationary discs for . If furthermore M satisfies an additional non-degeneracy condition, we apply the method…
Chern-Moser operators and weighted jet determination problems in higher codimension
Léa Blanc-Centi, Francine Meylan
Counterexamples to the 2-jet determination Chern-Moser Theorem in codimension d>2 have recently been constructed. We extend the Chern-Moser approach for hypersurfaces to real subma…
On nondegeneracy conditions for the Levi map in higher codimension: a survey
Léa Blanc-Centi, Francine Meylan
We compare various definitions of nondegeneracy of the Levi map for real submanifolds of higher codimension in and discuss the generalization to higher codimension of the 2-j…
Stationary holomorphic discs and finite jet determination problems
Florian Bertrand, Léa Blanc-Centi
We construct a family of small analytic discs attached to Levi non-degenerate hypersurfaces in , which is globally biholomorphically invariant. We then apply this…
On the Gromov hyperbolicity of the Kobayashi metric on strictly pseudoconvex regions in the almost complex case
Léa Blanc-Centi
We prove that every bounded strictly -convex region equipped with the Kobayashi metric is hyperbolic in the sense of Gromov. We apply this result to the study of the dynamics of…
Regularity and estimates for -holomorphic discs attached to a maximal totally real submanifold
Léa Blanc-Centi
We prove that pseudo-holomorphic discs attached to a maximal totally real submanifold inherit their regularity from the regularity of the submanifold and of the almost complex stru…
Stationary holomorphic discs glued to a Levi non-degenerate hypersurface
Léa Blanc-Centi
We obtain an explicit parametrization of stationary discs glued to some Levi non-degenerate hypersurfaces. These discs form a family which is invariant under the action of biholomo…
Proper pseudo-holomorphic maps between strictly pseudoconvex regions
Léa Blanc-Centi
We prove that proper pseudo-holomorphic maps between strictly pseudoconvex regions in almost complex manifolds extend to the boundary. The key point is that the Jacobian is far fro…