Journal of Geometry and Symmetry in Physics

Laplace-Beltrami Operator of a Helicoidal Hypersurface in Four-Space

Erhan Güler, Martin Magid, and Yusuf Yaylı

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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.

Article information

Source
J. Geom. Symmetry Phys., Volume 41 (2016), 77-95.

Dates
First available in Project Euclid: 31 May 2017

Permanent link to this document
https://projecteuclid.org/euclid.jgsp/1496196041

Digital Object Identifier
doi:10.7546/jgsp-41-2016-77-95

Mathematical Reviews number (MathSciNet)
MR3585167

Zentralblatt MATH identifier
1358.53011

Citation

Güler, Erhan; Magid, Martin; Yaylı, Yusuf. Laplace-Beltrami Operator of a Helicoidal Hypersurface in Four-Space. J. Geom. Symmetry Phys. 41 (2016), 77--95. doi:10.7546/jgsp-41-2016-77-95. https://projecteuclid.org/euclid.jgsp/1496196041


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