This article is cited in 1 paper

Different definitions of homogeneity of real hypersurfaces in $\mathbb C^2$

A. V. Loboda

Voronezh State Academy of Building and Architecture

Abstract: The coincidence of two definitions of local homogeneity for real-analytic hypersurfaces in two-dimensional complex spaces is proved. It is shown that if any two germs of a Levi nondegenerate nonspherical surface $M$ are equivalent, then this surface has a local Lie group structure: $M$ then acts transitively on itself by left shifts, and each such shift is a local holomorphic transformation of $\mathbb C^2$.

UDC: 517.55

Received: 20.05.1997

DOI: 10.4213/mzm1467

 English version: Mathematical Notes, 1998, 64:6, 761–766

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