The Gauss map and the third Laplace-Beltrami operator of the rotational hypersurface in 4-space

DOI10.3390/sym10090398zbMath1423.53009OpenAlexW2890217004MaRDI QIDQ2333769

Young Ho Kim, Erhan Güler, H. Hilmi Hacisalihoǧlu

Publication date: 13 November 2019

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/sym10090398

zbMATH Keywords

Gauss mapmean curvatureGaussian curvaturerotational hypersurfacefour-spacethe third Laplace-Beltrami operator

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

Rotational hypersurfaces in Lorentz-Minkowski 4-space ⋮ Birotational hypersurface and the second Laplace-Beltrami operator in the four dimensional Euclidean space ${\mathbb{E}}^{4}$ ⋮ Cheng-Yau operator and Gauss map of rotational hypersurfaces in 4-space ⋮ Differential Geometry of 1-type Submanifolds and Submanifolds with 1-type Gauss Map ⋮ 2-ruled hypersurfaces in Euclidean 4-space ⋮ Implicit equations of the Henneberg-type minimal surface in the four-dimensional Euclidean space

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• HELICOIDAL SURFACES OF THE THIRD FUNDAMENTAL FORM IN MINKOWSKI 3-SPACE
• HELICOIDAL SURFACES AND THEIR GAUSS MAP IN MINKOWSKI 3-SPACE
• Hypersurfaces in E⁴ with Harmonic Mean Curvature Vector Field
• SURFACES IN <TEX>$\mathbb{E}^3$</TEX> WITH L₁-POINTWISE 1-TYPE GAUSS MAP

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