| Abstract: | In this paper we study the dependence of the local geometry of real-analytic hypersuffaces in ℂ
n
on the dimension of the group of biholomorphic automorphisms of this surface. We also classify the hypersurfaces in terms
of this group. We present some examples showing that the classes of the given construction are not empty. We find a new formulation
of the Freeman theorem on the so-called straightening of a real-analytic CR-submanifold in ℂ
n
with degenerate Levi form of constant rank.
Translated fromMatematicheskie Zametki, Vol. 61, No. 3, pp. 349–358, March, 1997.
Translated by E. G. Anisova |
