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- W2952322907 abstract "We explicitly describe germs of strongly pseudoconvex non-spherical real-analytic hypersurfaces $M$ at the origin in $CC^{n+1}$ for which the group of local CR-automorphisms preserving the origin has dimension $d_0(M)$ equal to either $n^2-2n+1$ with $nge 2$, or $n^2-2n$ with $nge 3$. The description is given in terms of equations defining hypersurfaces near the origin, written in the Chern-Moser normal form. These results are motivated by the classification of locally homogeneous Levi non-degenerate hypersurfaces in $CC^3$ with $d_0(M)=1,2$ due to A. Loboda, and complement earlier joint work by V. Ezhov and the author for the case $d_0(M)ge n^2-2n+2$." @default.
- W2952322907 created "2019-06-27" @default.
- W2952322907 creator A5025419235 @default.
- W2952322907 date "2007-10-12" @default.
- W2952322907 modified "2023-09-27" @default.
- W2952322907 title "On Chern-Moser normal forms of strongly pseudoconvex hypersurfaces with high-dimensional stability group" @default.
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