Abstract
In this paper we study the second mean curvature for different hypersurfaces in space forms. We furnish some examples and we remind some connections between II-minimality and biharmonicity. The main result consists in proving that there are no II-minimal translation surfaces in the Euclidean three-space.
Information
Published: 1 January 2010
First available in Project Euclid: 13 July 2015
zbMATH: 1204.53005
MathSciNet: MR2757931
Digital Object Identifier: 10.7546/giq-11-2010-157-169
Rights: Copyright © 2010 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
