Matematik Bölümü Diğer Yayınlar Koleksiyonu: Recent submissions
Now showing items 61-80 of 80
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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 ... -
Bours theorem with lightlike axis in R1_3
(Saitama University, 2007) -
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 ... -
Möbius-type hypersurface in 4-space
(Manisa Celal Bayar University, 2018)Möbius-type hypersurface in the four dimensional Euclidean space is defined. Equations for the Gaussian and mean curvature are derived and some examples of hypersurface are given. -
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 ... -
On the gauss map of a class of hypersurfaces in H4
(AIP Conf. Proc. 2037, 020026-1–020026-8, 2018)We consider hypersurfaces of Riemannian space forms in terms of the type of their Gauss map, spherical Gauss mapor hyperbolic Gauss map. We give a brief summary of results on submanifolds withLkfinite type Gauss map fork>0. ... -
Torus-type helicoidal hypersurface in 4-space
(Karaman Üniversitesi, 2018) -
Helicoidal hypersurfaces of dini-type in the four dimensional minkowski space
(Karaman Üniversitesi, 2018)We define Ulisse Dini-type helicoidal hypersurfaces with spacelikeaxis in Minkowski 4-spaceE41. We compute the Gaussian and the mean curva-ture of the hypersurface. Moreover, we obtain some special symmetries to thecurvatures ... -
Differential equations on the rotational hypersurfaces in E5
(Mersin Üniversitesi, 2017) -
Torus hypersurface in 4-space
(Ahi Evran Üniversitesi, 2018)We consider torus hypersurface in the four dimensional Euclideanspace E4. We give some basic notions of E4, then we define rotational hypersur-face. Finally, we define torus hypersurface, and calculate its curvatures with ... -
Rotational hypersurfaces in E6
(Mersin Üniversitesi, 2018) -
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 ... -
Generalized helicoidal 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 ... -
Bour's minimal surface in three dimensional lorentz-minkowski space
(University of São Paulo (Brazil), 2013) -
Bour surface companions in space forms
(Bulgarian Academy of Sciences, 2015) -
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 ... -
Generalized bour's theorem in minkowski space form
(Yüzüncü Yıl Üniversitesi, 2015) -
Algebraic surfaces of henneberg in minkowski 3-space
(Yüzüncü Yıl Üniversitesi, 2015) -
A two parameter family of bour s surfaces in four space
(Bulgarian Academy of Sciences, 2015) -
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 ...
