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2012 The Gauss Map of Minimal Graphs in the Heisenberg Group
Christiam Figueroa
J. Geom. Symmetry Phys. 25: 1-21 (2012). DOI: 10.7546/jgsp-25-2011-1-21

Abstract

In this paper we study some geometric properties of surfaces in the Heisenberg group, $\mathcal{H}_{3}\!.$ We obtain, using the Gauss map for Lie groups, a partial classification of minimal graphs in $\mathcal{H}_{3}\!.$

Citation

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Christiam Figueroa. "The Gauss Map of Minimal Graphs in the Heisenberg Group." J. Geom. Symmetry Phys. 25 1 - 21, 2012. https://doi.org/10.7546/jgsp-25-2011-1-21

Information

Published: 2012
First available in Project Euclid: 25 May 2017

zbMATH: 1268.22006
MathSciNet: MR2976792
Digital Object Identifier: 10.7546/jgsp-25-2011-1-21

Rights: Copyright © 2012 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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