Konu "Mean curvature" için Matematik Bölümü listeleme
Toplam kayıt 21, listelenen: 1-20
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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 ... -
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 ... -
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 ... -
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 ... -
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. -
Helical hypersurfaces in minkowski geometry E^1_4
(Symmetry- Basel-MDPI, 2020-07-23)We define helical (i.e., helicoidal) hypersurfaces depending on the axis of rotation in Minkowski four-space E41 . There are three types of helicoidal hypersurfaces. We derive equations for the curvatures (i.e., Gaussian ... -
Helicoidal hypersurfaces in the four dimensional minkowski space
(Manisa Celal Bayar University, 2018)Helicoidal hypersurfaces in the four dimensional Minkowski space are defined. There are three types, depending on the axis of rotation. Equations for the Gaussian and mean curvature are derived and many ... -
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. -
Isometric deformation of (m, n)-type helicoidal surface in the three dimensional euclidean space
(2018)We consider a new kind of helicoidal surface for natural numbers (m, n) in the three-dimensional Euclidean space. We study a helicoidal surface of value (m, n), which is locally isometric to a rotational surface of value ... -
A new kind of helicoidal surface of value m
(2014)We define a new kind of helicoidal surface of value m. A rotational surface which is isometric to the helicoidal surface of value m is revealed. In addition, we calculate some differential geometric properties of the ... -
On the gauss map of the rotational 3-surface in 4-space
(Amasya Üniversitesi, 2017)We consider the Gauss map of the rotational hypersurface in the four dimensional Euclidean space. We define the mean curvature and the Gaussian curvature formulas. We also find some geometric ... -
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 ... -
Rotational hypersurface in 4-Space
(Ahi Evran Üniversitesi, 2016)We consider rotational hypersurface in the four dimensional Euclidean space. We calculate the mean and the Gaussian curvature, and some relations of the rotational hypersurface. Moreover, we give the Laplace-Beltrami ... -
Rotational hypersurfaces in S3(r)XR product space
(Sakarya University Journal of Science, 2017)We consider rotational hypersurfaces in S3(r)XR product space of five dimensional Euclidean space E^5. We calculate the mean curvature and the Gaussian curvature, and give some results. -
The second laplace-beltrami operator on rotational hypersurfaces in the euclidean 4-space
(2018)We consider rotational hypersurface in the four dimensional Euclidean space. We calculate the mean curvature and the Gaussian curvature, and some relations of the rotational hypersurface. Moreover, we define the second ... -
The second laplace-Beltrami operator on rotational hypersurfaces in the euclidean 4-space
(Yıldız Teknik Üniversitesi, 2017)We consider rotational hypersurface in the four dimensional Euclidean space. Wecalculate the mean curvature and the Gaussian curvature, and some relations of therotational hypersurface. Moreover, we de ne the second ... -
Ulisse dini-type helicoidal hypersurface 4-space
(Ordu Üniversitesi, 2018)We considerUlisse Dini-type helicoidal hypersurface in Euclidean 4-space E4.We give some basic notions of the fourdimensional Euclidean geometry in section 2.In section 3, we consider Ulisse Dini helicoidal hypersurface.We ...
