Další formáty:
BibTeX
LaTeX
RIS
@article{1648783, author = {Atanov, A.V. and Kossovskiy, Ilya and Loboda, A.V.}, article_location = {NEW YORK}, article_number = {1}, doi = {http://dx.doi.org/10.1134/S1064562419040173}, keywords = {CR-MANIFOLDS}, language = {eng}, issn = {1064-5624}, journal = {DOKLADY MATHEMATICS}, title = {On Orbits of Action of 5-Dimensional Non-Solvable Lie Algebras in Three-Dimensional Complex Space}, url = {https://link.springer.com/article/10.1134/S1064562419040173}, volume = {100}, year = {2019} }
TY - JOUR ID - 1648783 AU - Atanov, A.V. - Kossovskiy, Ilya - Loboda, A.V. PY - 2019 TI - On Orbits of Action of 5-Dimensional Non-Solvable Lie Algebras in Three-Dimensional Complex Space JF - DOKLADY MATHEMATICS VL - 100 IS - 1 SP - 377-379 EP - 377-379 PB - MAIK NAUKA/INTERPERIODICA/SPRINGER SN - 10645624 KW - CR-MANIFOLDS UR - https://link.springer.com/article/10.1134/S1064562419040173 L2 - https://link.springer.com/article/10.1134/S1064562419040173 N2 - 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. ER -
ATANOV, A.V., Ilya KOSSOVSKIY a A.V. LOBODA. On Orbits of Action of 5-Dimensional Non-Solvable Lie Algebras in Three-Dimensional Complex Space. \textit{DOKLADY MATHEMATICS}. NEW YORK: MAIK NAUKA/INTERPERIODICA/SPRINGER, 2019, roč.~100, č.~1, s.~377-379. ISSN~1064-5624. Dostupné z: https://dx.doi.org/10.1134/S1064562419040173.
|