Güler, Erhan; Magid, Martin; Yayli, Yusuf Laplace-Beltrami operator of a helicoidal hypersurface in four-space. (English) Zbl 1358.53011 J. Geom. Symmetry Phys. 41, 77-95 (2016). Summary: 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. Cited in 10 Documents MSC: 53A07 Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces Keywords:Gaussian curvature; helicoidal hypersurface; Laplace-Beltrami operator; mean curvature PDFBibTeX XMLCite \textit{E. Güler} et al., J. Geom. Symmetry Phys. 41, 77--95 (2016; Zbl 1358.53011) Full Text: DOI Link