Results 131 to 140 of about 256 (151)

SURFACES WITH POINTWISE 1-TYPE GAUSS MAP OF THE SECOND KIND [PDF]

The Pure and Applied Mathematics, 2012
In this article, we study generalized slant cylindrical surfaces (GSCS`s) with pointwise 1-type Gauss map of the first and second kinds. Our main results state that the right circular cones are the only rational kind GSCS`s with pointwise 1-type Gauss map of the second kind.
Kim Dong-Soo
exaly   +2 more sources

Some of the next articles are maybe not open access.

Related searches:

Invariant surfaces with pointwise 1-type Gauss map in Sol3

Journal of Geometry, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dae Won Yoon, Yoon Dae Won
exaly   +2 more sources

Spacelike Rotational Surfaces of Elliptic, Hyperbolic and Parabolic Types in Minkowski Space E 1 4 ${E^{4}_{1}}$ with Pointwise 1-Type Gauss Map [PDF]

Mathematical Physics Analysis and Geometry, 2014
In this work, we focus on a class of timelike rotational surfaces in Minkowski space E-1(4) with 2-dimensional axis. There are three types of rotational surfaces with 2-dimensional axis, called rotational surfaces of elliptic, hyperbolic or parabolic ...
Uğur Dursun
exaly   +3 more sources

Classification of Ruled Surfaces with Pointwise 1-Type Gauss Map in Minkowski 3-Space

Taiwanese Journal of Mathematics, 2011
We study the ruled surfaces in Minkowski 3-space with pointwise 1-type Gauss map. As a result, we introduce some new examples of the ruled surfaces with pointwise 1-type Gauss map in Minkowski 3-space.
Dae Won Yoon, Young Ho Kim
exaly   +3 more sources

Ruled surfaces with pointwise 1-type Gauss map

Journal of Geometry and Physics, 2000
It is known that the Gauss map \(G\) of a submanifold \(M\) in a pseudo-Euclidean \(m\)-space \(\mathbb E^m_s\) with index \(s\) satisfies \(\Delta G=\lambda G\) for some constant \(\lambda\) if \(M\) has 1-type Gauss map, where \(\Delta\) is the Laplacian of \(M\) [cf. \textit{B.-Y. Chen} and \textit{P. Piccinni}, Bull. Aust. Math. Soc.
Kim, Young Ho, Yoon, Dae Won
openaire   +1 more source

ON ROTATION SURFACES IN THE MINKOWSKI 3-DIMENSIONAL SPACE WITH POINTWISE 1-TYPE GAUSS MAP [PDF]

Journal of the Korean Mathematical Society, 2004
The author studies surfaces of revolution in the \(3\)-dimensional Minkowski space \({\mathbb E}^3_1\). It is proven that such surfaces have pointwise \(1\)-type Gauss map if and only if they have constant mean curvature. Here, a surface is said to have pointwise \(1\)-type Gauss map if \[ \Delta G=f\,G, \] where \(G\) is the Gauss map, \(\Delta\) the ...
exaly   +3 more sources

Classifications of Canal Surfaces with L1-Pointwise 1-Type Gauss Map

Milan Journal of Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qian, Jinhua, Kim, Young Ho
openaire   +1 more source

Rotation surfaces with L₁-pointwise 1-type Gauss map in pseudo-Galilean space

Annales Polonici Mathematici, 2015
Summary: We study rotation surfaces in the three-dimensional pseudo-Galilean space \(G_3^1\) such that the Gauss map \(G\) satisfies the condition \(L_1 G = f(G + C)\) for a smooth function \(f\) and a constant vector \(C\), where \(L_1\) is the Cheng-Yau operator.
Yoon, Dae Won, Kim, Young Ho, Jung, Jae Seong   +2 more
openaire   +2 more sources

Spherical product surface having pointwise 1-type Gauss map in Galilean 3-space 𝔾3

International Journal of Geometric Methods in Modern Physics, 2019
In this study, we handle the spherical product surface in Galilean [Formula: see text]-space [Formula: see text]. We calculate the Laplacian operator of the Gauss map of this surface. Then we give the necessary and sufficient conditions for spherical product surface to have harmonic Gauss map and we give a visualization of this type surface in [Formula:
KİŞİ, İLİM, Ozturk, Gunay
openaire   +2 more sources

Surfaces in the Euclidean Space E4 with Pointwise 1-Type Gauss Map

2014
In this article we study surfaces in Euclidean space E 4 with pointwise 1-type Gauss map. We give a characterization of surfaces in E 4 with a pointwise 1-type Gauss map of the first kind. We conclude that an oriented non-minimal surface M in E 4 has a pointwise 1-type Gauss map of the first kind if and only if M is a surface in a 3-sphere of E 4 with ...
DURSUN, Uğur, ARSAN, Güler Gürpınar
openaire   +1 more source