Dil için listeleme
Toplam kayıt 111, listelenen: 1-20
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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. -
Algebraic surfaces of henneberg in minkowski 3-space
(Yüzüncü Yıl Üniversitesi, 2015) -
Algebraic surfaces of the laplace-beltrami operators of the TF-type surfaces
(Yıldız Teknik Üniversitesi, 2015)We study on a new kind of surface covered by translation and factorable (TF-type) surfaces in the three dimensional Euclidean space. We calculate I and III Laplace-Beltrami operator surfaces of a TF-type ... -
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 ... -
Bour s theorem on gauss map in 3 euclidean space
(Hacettepe Üniversitesi, 2010)In this paper some relations are established between the Laplace-Beltrami operator and the curvatures of helicoidal surfaces in 3-Euclidean space. In addition, Bour’s theorem on the Gauss map, andsome special examples are given. -
Bour s theorem on timelike helicoidal surfaces with L L type in Minkowski 3 space
(Beykent University, 2008) -
Bour surface companions in non Euclidean space forms
(Geometry, Integrability and Quantization, 2016)In this paper, we give explicit parametrizations for Bour type surfaces in various three-dimensional space forms, using Weierstrass-type representations. We also determine classes and degrees of some Bour type zero mean ... -
Bour surface companions in space forms
(Bulgarian Academy of Sciences, 2015) -
Bour's minimal surface in three dimensional lorentz-minkowski space
(University of São Paulo (Brazil), 2013) -
Bour's minimal surface revisited: the irreducible implicit equation of the incomplete surface
(Çankırı Karatekin Üniversitesi, 2014)We focus on the differential geometry of the Bour’s minimal surface inEuclidean 3-space. We also calculate the mean curvature, the Gaussiancurvature, class, degree, index, total curvature, irreducible implicit equa-tion ... -
Bour's surface in the 3-dimensional Minkowski space
(Ordu Üniversitesi, 2013) -
Bour's theorem in minkowski 3 space
(2004)In three dimensional Minkowski space, we show that a generalized helicoid with null axis is isometric to a rotation surface with null axis so that helices on the helicoid correspond to parallel circles on the rotation ... -
Bour's theorem in Minkowski 3-space
(Kyoto Journal of Mathematics, 2006)In this study, we show that a Generalized helicoid with null axis is isometric to a rotation surface with null axis so that helices on the Helicoid correspond to parallel circles on the rotation surface in three dimensional ... -
Bours theorem with lightlike axis in R1_3
(Saitama University, 2007) -
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 ... -
Cheng-yau operator and gauss map of rotational hypersurfaces in the four dimensional euclidean space
(Manisa Celal Bayar University, 2018)We consider rotational hypersurface in the four dimensional Euclidean space 4E. We study the Gauss map G of rotational hypersurface in 4E with respect to the so-called Cheng-Yau operator 1L acting on the functions ... -
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 ... -
Curvatures of the factorable hypersurface
(2020-12-10) -
Curvatures of the translation hypersurface in 4-space
(2020-12-10)We study curvatures C_i (i=1,2,3) of translation hypersurface in the four dimensional Euclidean space. We also give some relations on C_i of translation hypersurface.
