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Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, Forthcoming paper
(Mi im9700)
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Classification of holomorphically homogeneous CR manifolds
M. A. Stepanova
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Abstract:
We prove that up to biholomorphic equivalence the family of holomorphically homogeneous real-analytic manifolds of fixed CR type $(n,K)$ is finite-dimensional. An estimate, which depends only on $n$ and $K$, for the number of parameters is given.
Keywords:
CR manifold, holomorphic automorphisms, holomorphically homogeneous manifold
Received: 22.01.2025
Revised: 27.03.2025
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https://www.mathnet.ru/eng/im9700
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