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VOL. 11 | 2010 New Results on the Geometry of the Translation Surfaces
Marian I. Munteanu, Ana I. Nistor

Editor(s) Ivaïlo M. Mladenov, Gaetano Vilasi, Akira Yoshioka

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

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