Stationary discs and finite jet determination for non-degenerate generic real submanifolds

Let M⊂CN be a generic real submanifold of class C4. In case M is Levi non-degenerate in the sense Tumanov, we construct stationary discs for M. If furthermore M satisfies an additional non-degeneracy condition, we apply the method of stationary discs to obtain 2-jet determination of CR automorphisms...

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Bibliographic Details
Published in:Advances in mathematics (New York. 1965) 2019-02, Vol.343, p.910-934
Main Authors: Bertrand, Florian, Blanc-Centi, Léa, Meylan, Francine
Format: Article
Language:English
Subjects:
CR automorphisms
Jet determination
Mathematics
Stationary discs
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Summary:Let M⊂CN be a generic real submanifold of class C4. In case M is Levi non-degenerate in the sense Tumanov, we construct stationary discs for M. If furthermore M satisfies an additional non-degeneracy condition, we apply the method of stationary discs to obtain 2-jet determination of CR automorphisms of M.
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2018.12.005