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Real, complex and functional analysis
On automorphisms of CR-submanifolds of complex Hilbert space
M. A. Stepanova Lomonosov Moscow State University, 1, Leninskie Gory, Moscow, 119991, Russia
Abstract:
It is shown that there exists only one tolally nondegenerate CR manifold of type $(n,\infty)$ (up to the formal equivalence), and the dimension of its Lie algebra $\mathfrak{g}_{+}$ of positively graded formal tangent vector fields is infinite. Examples of manifolds of type $(n,\infty)$ with algebras of any given in advance finite dimension are presented.
Keywords:
CR manifold, automorphisms, totally nondegenerate manifold.
Received September 12, 2019, published February 13, 2020
Citation:
M. A. Stepanova, “On automorphisms of CR-submanifolds of complex Hilbert space”, Sib. Èlektron. Mat. Izv., 17 (2020), 126–140
Linking options:
https://www.mathnet.ru/eng/semr1203 https://www.mathnet.ru/eng/semr/v17/p126
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Abstract page: | 297 | Full-text PDF : | 146 | References: | 32 |
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