The Sphere in C^2 as a Model Surface for Degenerate Hypersurfaces in C^3статья
Статья опубликована в журнале из списка RSCI Web of Science
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Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 11 января 2016 г.
Аннотация:In the paper, an unexpected correspondence between the automorphisms of
5-dimensional real uniformly 2-nondegenerate hypersurfaces of the space C3 and the automorphisms
of the 3-dimensional hypersphere in C2 is constructed. In a certain sense, the
3-dimensional hypersphere, which is, as is known, a model surface for the class of nondegenerate
3-dimensional hypersurfaces in C2, has this status also with respect to the above class
of 5-dimensional hypersurfaces in C3.