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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 ... -
Helicoidal surfaces of value (m,n) in 3-space
(Yıldız Teknik Üniversitesi, 2015)We define a new type helicoidal surface for natural numbers (m,n). We obtain a rotational surface which is isometric to the helicoidal surface of value (m,n) in three dimensional Euclidean space. -
Polynomial zero mean curvature surfaces in minkowski 3-space
(Yıldız Teknik Üniversitesi, 2015)We consider the family of the polynomial zero mean curvature surfaces in three dimensional Euclidean and Minkowski spaces and compute their classes, degrees and integral free representations. -
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 ...