## Search

Now showing items 101-109 of 109

#### The fourth fundamental form of the torus hypersurface

(2020-12-10)

We introduce the fourth fundamental form of the torus hypersurface in the four dimensional Euclidean space. We also compute I, II, III and IV fundamental forms of a torus hypersurface.

#### Fundamental form IV and curvature formulas of the hypersphere

(2020-11-26)

We study curvature formulas and the fourth fundamental form IV of hypersurfaces in the four dimensional
Euclidean geometry E4. We calculate fourth fundamental form and curvatures for hypersurfaces, and also for hypersphere. ...

#### A study on the fourth fundamental form of the factorable hypersurface

(2020-12-10)

We study the fourth fundamental form of the factorable hypersurface in the four dimensional Euclidean
space E4. We obtain I, II, III, and IV fundamental forms of a factorable hypersurface.

#### Curvatures of the factorable hypersurface

(2020-12-10)

#### Quasi harmonic Bézier approximation of minimal surfaces for finding forms of structural membranes

(Elsevier, 2015)

Numerical approximation of minimal surface is an important problem in form-finding of structural membranes. In this paper, we present a novel approach to construct minimal surface from a given boundary by quasi-harmonic ...

#### The gauss map and the third laplace-beltrami operator of the rotational hypersurface in 4-space

(2018)

We study and examine the rotational hypersurface and its Gauss map in Euclidean four-space E4 . We calculate the Gauss map, the mean curvature and the Gaussian curvature of the rotational hypersurface and obtain some ...

#### Generalized bour s theorem

(Kuwait Journal of Science, 2015)

We give the classical isometric minimal helicoidal and rotational surfaces using generalized Bour’s theorem in Euclidean 3-space. Furthermore, we investigate the minimality and have same Gauss map of the surfaces.

#### 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 ...