## Search

Now showing items 1-9 of 9

#### Deltohelicoidal surfaces

(2019-09-06)

The surface theory has been working by many mathematicians, and also geometers for hundreds of years. We meet nice papers and books for the theory in the literature. In this paper, we consider deltohelicoidal surface in ...

#### Cardiohelicoidal surfaces

(2019-09-06)

Geometers have been working the curve theory and the surface theory for hundreds of years. We see good works for the theories in the literature. In this work, we introduce cardiohelicoidal surface in the three dimensional ...

#### Astrohelicoidal hypersurfaces in 4-space

(International Conference on Mathematics and Mathematics Education, 2019)

We consider an astrohelicoidal hypersurface which its profile curve has astroid curve
in the four dimensional Euclidean space E4. We also calculate Gaussian curvature and the mean curvature, and Weingarten relation of the ...

#### Cheng–yau operator and gauss map of rotational hypersurfaces in 4-space

(Springer, 2019)

We consider rotational hypersurface in the four-dimensional Euclidean space E4. We study the Gauss map G of rotational hypersurface in E4 with respect to the so-called Cheng–Yau operator L1 acting on the functions defined ...

#### Helicoidal surface of logaritmic spiral type in 3-space

(International Conference on Computational Mathematics and Engineering Sciences, 2019)

In this paper, we study the logaritmic spiral-type helicoidal surface in Euclidean 3-space.
We obtain logaritmic spiral-type helicoidal surface with some figures, and calculate its
curvatures.

#### Henneberg’s algebraic surfaces in minkowski 3-space

(2019)

We consider the Henneberg's algebraic zero mean curvature surfaces in three dimensional Minkowski space, and compute their classes, degrees and integral free representations. We also draw some figures of the algebraic surfaces.

#### One sided Henry Smith surface

(International Conference on Computational Mathematics and Engineering Sciences, 2019)

We focus differential geometry of the Henry Smith surface in the three dimensional
Euclidean space. We calculate the Gaussian and the mean curvatures of the surface, drawing its figure. In addition, we find algebraic ...

#### Astrohelicoidal surfaces

(International Conference on Mathematics and Mathematics Education, 2019)

We construct an astrohelicoidal surface which its profile curve has astroid curve
in the three dimensional Euclidean space E3. We also find Gaussian curvature and the mean curvature, and Weingarten relation of the surface ...

#### Dini-type helicoidal hypersurfaces with timelike axis in minkowski 4-space E14

(Mathematics, 2019)

We consider Ulisse Dini-type helicoidal hypersurfaces with timelike axis in Minkowski 4-space E41 . Calculating the Gaussian and the mean curvatures of the hypersurfaces, we demonstrate some special symmetries for the ...