Infinitesimal symmetries of weakly pseudoconvex manifolds
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00119722" target="_blank" >RIV/00216224:14310/22:00119722 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00209-021-02873-w" target="_blank" >https://link.springer.com/article/10.1007/s00209-021-02873-w</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00209-021-02873-w" target="_blank" >10.1007/s00209-021-02873-w</a>
Alternative languages
Result language
angličtina
Original language name
Infinitesimal symmetries of weakly pseudoconvex manifolds
Original language description
We consider weakly pseudoconvex hypersurfaces with polynomial models in C-N and their symmetry algebras. In themost prominent case of special models, given by sums of squares of polynomials, we give their complete classification. In particular, we prove that such manifolds do not admit any nonlinear symmetries, depending only on complex tangential variables, nor do they admit real or nilpotent linear symmetries. This leads to a sharp 2-jet determination result for local automorphisms. We also give partial results in the general case and a more detailed description of the graded components in complex dimension three. The results also provide an important necessary step for solving the local equivalence problem on such manifolds.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematische Zeitschrift
ISSN
0025-5874
e-ISSN
1432-1823
Volume of the periodical
300
Issue of the periodical within the volume
3
Country of publishing house
DE - GERMANY
Number of pages
16
Pages from-to
2451-2466
UT code for WoS article
000703795300003
EID of the result in the Scopus database
2-s2.0-85116503763