22 citations · 39 across the 18 of their papers we have counts for
19 papers
Tubes of finite Chen-type
Hassan Al-Zoubi, Khalid M. Jaber, Stylianos Stamatakis
In this paper, we consider surfaces in the 3-dimensional Euclidean space E3 which are of finite III-type, that is, they are of finite type, in the sense of B.-Y. Chen, correspondin…
Translation surfaces of coordinate finite type
Hassan Al-Zoubi, Stylianos Stamatakis, Waseem Al-Mashaleh +1
We consider translation surfaces in the 3-dimensional Euclidean space which are of coordinate finite type with respect to the third fundamental form , i.e. their position vect…
On the shape operator of relatively parallel hypersurfaces in the -dimensional relative differential geometry
Stylianos Stamatakis, Ioannis Kaffas
We deal with hypersurfaces in the framework of the -dimensional relative differential geometry. We consider a hypersurface of with position vector f…
On polar relative normalizations of ruled surfaces
Ioanna-Iris Papadopoulou, Stylianos Stamatakis
This paper deals with skew ruled surfaces in the Euclidean space which are equipped with polar normalizations, that is, relative normalizations such that the relat…
Ruled and quadric surfaces of finite Chen-type
Hassan Al-Zoubi, Stylianos Stamatakis, Hani Almimi
In this paper, we study ruled surfaces and quadrics in the 3-dimensional Euclidean space which are of finite -type, that is, they are of finite type, in the sense of B.-Y. Che…
Bonnet's type theorems in the relative differential geometry of the 4-dimensional space
Stylianos Stamatakis, Ioannis Kaffas
We deal with hypersurfaces in the framework of the relative differential geometry in . We consider a hypersurface in with position vector fie…
Ruled surfaces right normalized
Stylianos Stamatakis, Ioanna-Iris Papadopoulou
This paper deals with skew ruled surfaces in the Euclidean space which are right normalized, that is they are equipped with relative normalizations, whos…
Generalization of two Bonnet's Theorems to the relative Differential Geometry of the 3-dimensional Euclidean space
Stylianos Stamatakis, Ioannis Kaffas, Ioannis Delivos
This paper is devoted to the 3-dimensional relative differential geometry of surfaces. In the Euclidean space we consider a surface $\varPhi %\colon \vect{x} = \vect{x}…
Notes on relative normalizations of ruled surfaces in the three-dimensional Euclidean space
Stylianos Stamatakis, Ioanna-Iris Papadopoulou
This paper deals with relative normalizations of skew ruled surfaces in the Euclidean space . In section 2 we investigate some new formulae concerning the Pick inva…
Ruled and quadric surfaces in the 3-dimensional Euclidean space satisfying
Hassan Al-Zoubi, Stylianos Stamatakis
We consider ruled and quadric surfaces in the 3-dimensional Euclidean space which are of coordinate finite type with respect to the third fundamental form , i.e., their positi…
On the Tchebychev Vector Field in the Relative Differential Geometry
Stylianos Stamatakis
In this paper we deal with relative normalizations of hypersurfaces in the (n+1)-dimensional Euclidean space . Considering a relative normalization of a…
Characterizations of special skew ruled surfaces by the normal curvature of some distinguished families of curves
Stylianos Stamatakis
We consider skew ruled surfaces in the three-dimensional Euclidean space and some geometrically distinguished families of curves on them whose normal curvature has a concrete form.…
W-surfaces having some properties
Stylianos Stamatakis
We investigate some characteristic properties of specific Weingarten surfaces in the three-dimensional Euclidean space using the nets of the lines of curvature resp. the asymptotic…
A relative-geometric treatment of ruled surfaces
Georg Stamou, Stylianos Stamatakis, Ioannis Delivos
We consider relative normalizations of ruled surfaces with non-vanishing Gaussian curvature in the Euclidean space , which are characterized by the support fun…
On Surfaces of finite Chen-type
Stylianos Stamatakis, Hassan Al-Zoubi
We investigate some relations concerning the first and the second Beltrami operators corresponding to the fundamental forms I, II, III of a surface in the three-dimensional Euclide…
On the Laplace Normal Vector Field of Skew Ruled Surfaces
Stylianos Stamatakis
We consider the Laplace normal vector field of relatively normalized ruled surfaces with non-vanishing Gaussian curvature in the three-dimensional Euclidean space .…
Surfaces of revolution satisfying
Stylianos Stamatakis, Hassan Al-Zoubi
We consider surfaces of revolution in the three-dimensional Euclidean space which are of coordinate finite type with respect to the third fundamental form. We show that a surface o…
Characterizations of Ruled Surfaces in and of Hyperquadrics in via Relative Geometric Invariants
Stylianos Stamatakis, Ioannis Kaffas, Ioanna-Iris Papadopoulou
We consider hypersurfaces in the real Euclidean space () which are relatively normalized. We give necessary and sufficient conditions a) for a surface of…
Ruled surfaces asymptotically normalized
Stylianos Stamatakis, Ioannis Kaffas
We consider a skew ruled surface in the Euclidean space and relative normalizations of it, so that the relative normals at each point lie in the corresponding asymptoti…