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20132019
most citedOn Surfaces of finite Chen-type

22 citations · 39 across the 18 of their papers we have counts for

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Showing 2015Show all

7 papers · 1 filter

math.DG2015

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…

math.GM2015

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.…

math.DG2015

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…

math.DG2015★ 1 cited

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…

math.DG2015★ 22 cited

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…

math.DG2015

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 .…

math.DG2015★ 1 cited

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…