A. E. Tumanov, “Finite-dimensionality of the group of $CR$ automorphisms of a standard $CR$ manifold, and proper holomorphic mappings of Siegel domains”, Izv. Akad. Nauk SSSR Ser. Mat., 1988, Volume 52, Issue 3,Pages 651

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Finite-dimensionality of the group of $CR$ automorphisms of a standard $CR$ manifold, and proper holomorphic mappings of Siegel domains

A. E. Tumanov

Abstract: It is shown that local $CR$ automorphisms of nondegenerate standard $CR$ manifolds are rational and form a finite-dimensional Lie group. It is established that proper holomorphic mappings of nondegenerate Siegel domains are biholomorphic and rational.
Bibliography: 14 titles.

UDC: 517.55

MSC: Primary 32F25, 32M05; Secondary 32H05

Received: 24.06.1986