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Quasi harmonic Bézier approximation of minimal surfaces for finding forms of structural membranes
(Elsevier, 2015)
Numerical approximation of minimal surface is an important problem in form-finding of structural membranes. In this paper, we present a novel approach to construct minimal surface from a given boundary by quasi-harmonic ...
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.
Dini-type helicoidal hypersurfaces with timelike axis in minkowski 4-space E14
(Mathematics, 2019)
We consider Ulisse Dini-type helicoidal hypersurfaces with timelike axis in Minkowski 4-space E41 . Calculating the Gaussian and the mean curvatures of the hypersurfaces, we demonstrate some special symmetries for the ...