Detailed Information on Publication Record
2016
HIGHER ORDER SYMMETRIES OF REAL HYPERSURFACES IN C-3
KOLÁŘ, Martin and Francine Antoinette MEYLAN-RIVIERBasic information
Original name
HIGHER ORDER SYMMETRIES OF REAL HYPERSURFACES IN C-3
Authors
KOLÁŘ, Martin (203 Czech Republic, belonging to the institution) and Francine Antoinette MEYLAN-RIVIER (756 Switzerland)
Edition
Proceedings of the American Mathematical Society, PROVIDENCE, AMER MATHEMATICAL SOC, 2016, 0002-9939
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
není předmětem státního či obchodního tajemství
Impact factor
Impact factor: 0.679
RIV identification code
RIV/00216224:14310/16:00094002
Organization unit
Faculty of Science
UT WoS
000384000300024
Keywords in English
Catlin multitype; Levi degenerate manifold; CR automorphisms
Tags
International impact, Reviewed
Změněno: 6/4/2017 18:14, Ing. Andrea Mikešková
Abstract
V originále
We study nonlinear automorphisms of Levi degenerate hypersurfaces of finite multitype. By results of Kolar, Meylan, and Zaitsev in 2014, the Lie algebra of infinitesimal CR automorphisms may contain a graded component consisting of nonlinear vector fields of arbitrarily high degree, which has no analog in the classical Levi nondegenerate case, or in the case of finite type hypersurfaces in C-2. We analyze this phenomenon for hypersurfaces of finite Catlin multitype with holomorphically nondegenerate models in complex dimension three. The results provide a complete classification of such manifolds. As a consequence, we show on which hypersurfaces 2-jets are not sufficient to determine an automorphism. The results also confirm a conjecture about the origin of nonlinear automorphisms of Levi degenerate hypersurfaces, formulated by the first author for an AIM workshop in 2010.
Links
| EE2.3.20.0003, research and development project |
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