Birotational hypersurface and the second Laplace-Beltrami operator in the four dimensional Euclidean space ${\mathbb{E}}^{4}$

DOI10.55730/1300-0098.3261zbMath1500.53010OpenAlexW4285236139WikidataQ114014561 ScholiaQ114014561MaRDI QIDQ5102090

Erhan Güler, Yusuf Yayli, H. Hilmi Hacisalihoǧlu

Publication date: 6 September 2022

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.55730/1300-0098.3261

zbMATH Keywords

Gauss mapEuclidean spacesfour spacesecond Laplace-Beltrami operator\(i\)-th curvaturebirotational hypersurface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07)

Related Items (1)

Differential Geometry of 1-type Submanifolds and Submanifolds with 1-type Gauss Map

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cheng-Yau operator and Gauss map of surfaces of revolution
• Laplace-Beltrami operator of a helicoidal hypersurface in four-space
• Meridian surfaces of elliptic or hyperbolic type with pointwise \(1\)-type Gauss map in Minkowski \(4\)-space
• An extension of Takahashi theorem for the linearized operators of the higher order mean curvatures
• An extension of Takahashi's theorem
• On surfaces of finite type in Euclidean 3-space
• Finite type submanifolds in pseudo-Euclidean spaces and applications
• 2-type surfaces in \(S^ 3\)
• On a certain class of finite type surfaces of revolution
• Hypersurfaces with constant scalar curvature
• Complete hypersurfaces of \(\mathbb{R}^ 4\) with constant mean curvature
• Some properties of the Clifford torus as rotation surfaces.
• Stationary 2-type surfaces in a hypersphere
• Generalized rotation surfaces in \({\mathbb E^4}\)
• Vranceanu surface in \(\mathbb{E}^4\) with pointwise 1- type Gauss map
• Lorentz hypersurfaces in \(E_{1}^{4}\) satisfying \(\Delta\overset\rightarrow H=\alpha \overset\rightarrow H\)
• Space-like surfaces in the Minkowski space \(\mathbb{E}_1^4\) with pointwise 1-type Gauss maps
• The Gauss map and the third Laplace-Beltrami operator of the rotational hypersurface in 4-space
• Pseudo-spherical submanifolds with 1-type pseudo-spherical Gauss map
• Cheng-Yau operator and Gauss map of rotational hypersurfaces in 4-space
• Hypersurfaces with pointwise 1-type Gauss map
• Minimal immersions of Riemannian manifolds
• Tensor product surfaces in \(\mathbb R^{4}\) and Lie groups
• General rotational surfaces in the 4-dimensional Minkowski space
• TENSOR PRODUCT SURFACES WITH POINTWISE 1-TYPE GAUSS MAP
• Surfaces of revolution satisfying $\triangle^{III}\boldsymbol{x}=A\boldsymbol{x}$
• SOME CLASSIFICATIONS OF LORENTZIAN SURFACES WITH FINITE TYPE GAUSS MAP IN THE MINKOWSKI 4-SPACE
• Rotation Hypersurfaces in Spaces of Constant Curvature
• Submanifolds with finite type Gauss map
• Classification of surfaces in a pseudo‐sphere with 2‐type pseudo‐spherical Gauss map
• Hypersurfaces in E⁴ with Harmonic Mean Curvature Vector Field
• Rotational λ – hypersurfaces in Euclidean spaces
• SURFACES IN <TEX>$\mathbb{E}^3$</TEX> WITH L₁-POINTWISE 1-TYPE GAUSS MAP
• FLAT ROTATIONAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN E⁴
• General rotational surfaces with pointwise 1-type Gauss map in pseudo-Euclidean space \(\mathrm E_2^4\)

This page was built for publication: Birotational hypersurface and the second Laplace-Beltrami operator in the four dimensional Euclidean space ${\mathbb{E}}^{4}$