This article is cited in 14 papers

Each homotopically homogeneous tube in $C^2$ has an affine-homogeneous base

A. V. Loboda

Voronezh State Academy of Building and Architecture

Abstract: We study aspherical tube hypersurfaces of the two-dimensional complex space which satisfy the local homogeneity condition. We prove that the holomorphic homogeneity of such a surface in the analytic case is equivalent to its affine homogeneity. The proof bases on the properties of the holomorphic invariants of tube hypersurfaces which are constructed by means of the Moser normal form.

UDC: 517.55

Received: 03.04.1995

 English version: Siberian Mathematical Journal, 2001, 42:6, 1111–1114

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