Generalized stationary discs attached to degenerate submanifolds in ${\mathbb{C}}^N$

Abstract

We study the family of generalized stationary discs attached to a Levi degenerate submanifold M of codimension d in ${\mathbb{C}}^{n+d}$. We show, under suitable geometric assumptions on M, that this family forms a finite dimensional real submanifold of the Banach space of analytic discs.

This work was done in the framework of the Summer Research Camp in Mathematics designed by the Department of Mathematics at the American University of Beirut (AUB) and that benefited from a generous support from the Center for Advanced Mathematical Sciences and the Faculty of Arts and Sciences at AUB