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@article{1642038,
author = {Kolář, Martin and MeylanandRivier, Francine Antoinette},
article_location = {PISA},
article_number = {3},
doi = {http://dx.doi.org/10.2422/2036-2145.201703_016},
keywords = {CHERN-MOSER OPERATORS; REAL HYPERSURFACES; FINITE-TYPE; JET DETERMINATION; SYMMETRIES; RIGIDITY},
language = {eng},
issn = {0391-173X},
journal = {ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE},
title = {Nonlinear CR automorphisms of Levi degenerate hypersurfaces and a new gap phenomenon},
url = {http://annaliscienze.sns.it/public/pdf/abstracts/2019/02_KOLAR_etal_ab.pdf},
volume = {19},
year = {2019}
}
TY - JOUR
ID - 1642038
AU - Kolář, Martin - Meylan-Rivier, Francine Antoinette
PY - 2019
TI - Nonlinear CR automorphisms of Levi degenerate hypersurfaces and a new gap phenomenon
JF - ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE
VL - 19
IS - 3
SP - 847-868
EP - 847-868
PB - SCUOLA NORMALE SUPERIORE
SN - 0391173X
KW - CHERN-MOSER OPERATORS
KW - REAL HYPERSURFACES
KW - FINITE-TYPE
KW - JET DETERMINATION
KW - SYMMETRIES
KW - RIGIDITY
UR - http://annaliscienze.sns.it/public/pdf/abstracts/2019/02_KOLAR_etal_ab.pdf
L2 - http://annaliscienze.sns.it/public/pdf/abstracts/2019/02_KOLAR_etal_ab.pdf
N2 - We give a complete classification of polynomial models for smooth real hypersurfaces of finite Catlin multitype in C-3, which admit nonlinear infinitesimal CR automorphisms. As a consequence, we obtain a sharp 1-jet determination result for any smooth hypersurface with such a model. The results also prove a conjecture of the first author about the origin of such nonlinear automorphisms (AIM list of problems, 2010). As another consequence, we describe all possible dimensions of the Lie algebra of infinitesimal CR automorphisms, which leads to a new "secondary" gap phenomenon.
ER -
KOLÁŘ, Martin a Francine Antoinette MEYLAN-RIVIER. Nonlinear CR automorphisms of Levi degenerate hypersurfaces and a new gap phenomenon. \textit{ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE}. PISA: SCUOLA NORMALE SUPERIORE, 2019, roč.~19, č.~3, s.~847-868. ISSN~0391-173X. Dostupné z: https://dx.doi.org/10.2422/2036-2145.201703\_{}016.
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