2017arXiv (Cornell University)Open access

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

Léa Blanc-Centi, Francine Meylan

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Abstract

We compare various definitions of nondegeneracy of the Levi map for real\nsubmanifolds of higher codimension in $C^N$ and discuss the generalization to\nhigher codimension of the 2-jet determination for biholomorphisms in the\nhypersurface case proved by Chern and Moser.\n

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We compare various definitions of nondegeneracy of the Levi map for real\nsubmanifolds of higher codimension in $C^N$ and discuss the generalization to\nhigher codimension of the 2-jet determination for biholomorphisms in the\nhypersurface case proved by Chern and Moser.\n

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We compare various definitions of nondegeneracy of the Levi map for real\nsubmanifolds of higher codimension in $C^N$ and discuss the generalization to\nhigher codimension of the 2-jet determination for biholomorphisms in the\nhypersurface case proved by Chern and Moser.\n

Key concepts: Codimension, Hypersurface, Generalization, Pure mathematics, Mathematics, Jet (fluid), Mathematical analysis, Physics

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