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- W3129778045 abstract "We prove that for every n ≥ 3 the sharp upper bound for the dimension of the symmetry groups of homogeneous, 2-nondegenerate, (2n + 1)-dimensional CR manifolds of hypersurface type with a 1-dimensional Levi kernel is equal to n2 + 7, and simultaneously establish the same result for a more general class of structures characterized by weakening the homogeneity condition. This supports Beloshapka’s conjecture stating that hypersurface models with a maximal finite dimensional group of symmetries for a given dimension of the underlying manifold are Levi nondegenerate." @default.
- W3129778045 created "2021-03-01" @default.
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- W3129778045 date "2022-06-25" @default.
- W3129778045 modified "2023-10-14" @default.
- W3129778045 title "Maximal Dimension of Groups of Symmetries of Homogeneous 2-nondegenerate CR Structures of Hypersurface Type with a 1-dimensional Levi Kernel" @default.
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- W3129778045 doi "https://doi.org/10.1007/s00031-022-09739-3" @default.
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