Finite-dimensionality of the group of cr automorphisms of a standard cr manifold, and proper holomorphic mappings of siegel domains

A. E. Tumanov

doi:10.1070/IM1989v032n03ABEH000804

Finite-dimensionality of the group of cr automorphisms of a standard cr manifold, and proper holomorphic mappings of siegel domains

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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 biholomorphicand rational.

Original language	English (US)
Pages (from-to)	655-662
Number of pages	8
Journal	Mathematics of the USSR - Izvestija
Volume	32
Issue number	3
DOIs	https://doi.org/10.1070/IM1989v032n03ABEH000804
State	Published - Jun 30 1989
Externally published	Yes

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General Mathematics

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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 biholomorphicand rational.",

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AU - Tumanov, A. E.

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Finite-dimensionality of the group of cr automorphisms of a standard cr manifold, and proper holomorphic mappings of siegel domains

Abstract

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