Open Access
2010 New Results on the Geometry of the Translation Surfaces
Marian I. Munteanu, Ana I. Nistor
J. Geom. Symmetry Phys. 18: 49-62 (2010). DOI: 10.7546/jgsp-18-2010-49-62


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.


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Marian I. Munteanu. Ana I. Nistor. "New Results on the Geometry of the Translation Surfaces." J. Geom. Symmetry Phys. 18 49 - 62, 2010.


Published: 2010
First available in Project Euclid: 25 May 2017

zbMATH: 1204.53005
MathSciNet: MR2668882
Digital Object Identifier: 10.7546/jgsp-18-2010-49-62

Rights: Copyright © 2010 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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