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

First available in Project Euclid: 31 May 2017

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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.

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