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On orbits of action of 5-dimensional non-solvable Lie algebras in three-dimensional complex space
Doklady Akademii Nauk
After the description by E. Cartan in 1932 holomorphically homogeneous real hypersurfaces of two-dimensional complex spaces, a similar study in the 3-dimensional case remains incomplete. In a series of works performed by several international teams of authors, the problem is reduced to describing homogeneous surfaces that are non-degenerate in Levi sense and have exactly 5-dimensional Lie algebras of holomorphic vector fields. In this paper, precisely such homogeneous surfaces are investigated.doi:10.31857/s0869-56524876607-610 fatcat:hnak64yatbbtjiyfs2rp6d2ybe