E-resources
Peer reviewed
-
Atanov, A.V; Loboda, A.V
Journal of mathematical sciences (New York, N.Y.), 11/2022, Volume: 268, Issue: 1Journal Article
In connection with the problem of describing holomorphically homogeneous real hypersurfaces in the space ??, we study five-dimensional real Lie algebras realized as algebras of holomorphic vector fields on such manifolds. We prove the following assertion: If on a holomorphically homogeneous real hypersurface M of the space ??, there is a decomposable, solvable, five-dimensional Lie algebra of holomorphic vector fields having a full rank near some point P member of M, then this surface is either degenerate near P in the sense of Levy or is a holomorphic image of an affine-homogeneous surface.
