Abstract
An exposition of the new results concerning the nonexistence of local isometric immersions of 3-dimensional Lobachevsky space $L^3$ into 5-dimensional Euclidean space $E^5$ with constant curvature of the Grassmannian image metric, on connections between curvatures of asymptotic lines on a domain of $L^3 \subset E^5$, on regularity theorems for surfaces obtained by Backlund transformation of a domain of $L^2 \subset S^3$ and $L^2 \subset E^3$.
Information
Published: 1 January 2002
First available in Project Euclid: 12 June 2015
zbMATH: 1022.53049
MathSciNet: MR1884843
Digital Object Identifier: doi:10.7546/giq-3-2002-165-170
Rights: Copyright © 2002 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
