V. A. Gorkavyy, E. N. Nevmerzhitskaja, “An Analog of Bianchi Transformations for Two-Dimensional Surfaces in the Space <nobr>$S^3\times \mathbb{R}^1$</nobr>”, Mat. Zametki, 2011, Volume 89, Issue 6,Pages <nobr>833

This article is cited in 2 papers

An Analog of Bianchi Transformations for Two-Dimensional Surfaces in the Space $S^3\times \mathbb{R}^1$

V. A. Gorkavyy, E. N. Nevmerzhitskaja

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov

Abstract: Bianchi-type transformations are constructed for two-dimensional surfaces with constant negative intrinsic curvature in the space $S^3\times \mathbb{R}^1$.

Keywords: Bianchi transformation, 2-surface negative intrinsic curvature, pseudospherical surface, pseudospherical congruence, Gaussian curvature, Bäcklund transformation.

UDC: 514

Received: 30.11.2009

DOI: 10.4213/mzm8630