On Orbits of Action of 5-Dimensional Non-Solvable Lie Algebras in Three-Dimensional Complex Space
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00113742" target="_blank" >RIV/00216224:14310/19:00113742 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1134/S1064562419040173" target="_blank" >https://link.springer.com/article/10.1134/S1064562419040173</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1134/S1064562419040173" target="_blank" >10.1134/S1064562419040173</a>
Alternative languages
Result language
angličtina
Original language name
On Orbits of Action of 5-Dimensional Non-Solvable Lie Algebras in Three-Dimensional Complex Space
Original language description
In 1932, E. Cartan described holomorphically homogeneous real hypersurfaces of two-dimensional complex spaces, but a similar study in the three-dimensional case remains incomplete. In a series of works performed by several international teams, the problem is reduced to describing homogeneous surfaces that are nondegenerate in the sense of Levi and have exactly 5-dimensional Lie algebras of holomorphic vector fields. In this paper, precisely such homogeneous surfaces are investigated. At the same time, a significant part of the extensive list of abstract 5-dimensional Lie algebras does not provide new examples of homogeneity. Given in this paper, the complete description of the orbits of 5-dimensional non-solvable Lie algebras in a three-dimensional complex space includes examples of new homogeneous hypersurfaces. These results bring us closer to the completion of a large-scale scientific study that is of interest in various branches of mathematics.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
DOKLADY MATHEMATICS
ISSN
1064-5624
e-ISSN
1531-8362
Volume of the periodical
100
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
3
Pages from-to
377-379
UT code for WoS article
000487898200013
EID of the result in the Scopus database
2-s2.0-85073208547