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#### Isometric surfaces and III-laplace-beltrami operator in three dimensional euclidean space

(Balıkesir Üniversitesi, 2012)

In this paper, isometric helicoidal and rotational surfaces are studied, and generalized by Bour's theorem in three dimensional Euclidean space. Moreover, the third Laplace-Beltrami operators of two classical surfaces are ...

#### Rotational hypersurface in 4-Space

(Ahi Evran Üniversitesi, 2016)

We consider rotational hypersurface in the four dimensional Euclidean space. We calculate the mean and the Gaussian curvature, and some relations of the rotational hypersurface. Moreover, we give the Laplace-Beltrami ...

#### Generalized bour's theorem in minkowski space form

(Yüzüncü Yıl Üniversitesi, 2015)

#### 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.

#### On generalized euler spirals in E3

(2016)

The Cornu spirals on plane are the curves whose curvatures are linear. Generalized planar cornu spirals and Euler spirals in E3, the curves whose curvatures are linear are deÖned in [1,5]. In this study, these curves are ...

#### 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 ...

#### Some characterizations of euler spirals In E3_1

(2016)

In this study, some characterizations of Euler spirals in E3_1 have been presented by using their main property that their curvatures are linear. Moreover, discussing some properties of Bertrand curves and helices, the ...

#### Generalized bour's theorem in 3*dimensional euclidean space

(Akdeniz Üniversitesi, 2010)

#### 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.