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

Abstract

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.

Citation

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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. https://doi.org/10.7546/jgsp-41-2016-77-95

Information

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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