N. G. Kruzhilin, P. A. Soldatkin, “Affine and Holomorphic Equivalence of Tube Domains in <nobr>$\mathbb C^2$</nobr>”, Mat. Zametki, 2004, Volume 75, Issue 5,Pages <nobr>670

This article is cited in 9 papers

Affine and Holomorphic Equivalence of Tube Domains in $\mathbb C^2$

N. G. Kruzhilin^a, P. A. Soldatkin^b

^a Steklov Mathematical Institute, Russian Academy of Sciences
^b Russian State University for the Humanities

Abstract: It is shown that, except for several explicitly described cases, two hyperbolic tube domains in $\mathbb C^2$ are biholomorphically equivalent if and only if they are affinely equivalent.

UDC: 514.14

Received: 24.11.2003

DOI: 10.4213/mzm63