Konu "Gaussian curvature" için Matematik Bölümü Makale Koleksiyonu listeleme
Toplam kayıt 9, listelenen: 1-9
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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 ... -
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 ... -
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 ...