Open Access
VOL. 11 | 2010 New Results on the Geometry of the Translation Surfaces
Chapter Author(s) Marian I. Munteanu, Ana I. Nistor
Editor(s) Ivaïlo M. Mladenov, Gaetano Vilasi, Akira Yoshioka
Geom. Integrability & Quantization, 2010: 157-169 (2010) DOI: 10.7546/giq-11-2010-157-169

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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