On nondegeneracy conditions for the Levi map in higher codimension: a survey

摘要

We compare various definitions of nondegeneracy of the Levi map for real submanifolds of higher codimension in C N documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$${mathbb {C}}^N$$end{document} and discuss the generalization to higher codimension of the 2-jet determination for biholomorphisms in the hypersurface case proved by Chern and Moser (Acta Math 133:219–271, 1974).