Open Access
2016 Laplace-Beltrami Operator of a Helicoidal Hypersurface in Four-Space
Erhan Güler, Martin Magid, Yusuf Yaylı
J. Geom. Symmetry Phys. 41: 77-95 (2016). DOI: 10.7546/jgsp-41-2016-77-95


We introduce helicoidal hypersurface in the four dimensional Euclidean space. We calculate the mean and the Gaussian curvature, and some relations of the helicoidal hypersurface. Then we give the Laplace-Beltrami operator of the helicoidal hypersurface.


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Erhan Güler. Martin Magid. Yusuf Yaylı. "Laplace-Beltrami Operator of a Helicoidal Hypersurface in Four-Space." J. Geom. Symmetry Phys. 41 77 - 95, 2016.


Published: 2016
First available in Project Euclid: 31 May 2017

zbMATH: 1358.53011
MathSciNet: MR3585167
Digital Object Identifier: 10.7546/jgsp-41-2016-77-95

Rights: Copyright © 2016 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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