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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.
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 ...