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Now showing items 11-20 of 31
Uniform I-lacunary statistical convergence on time scales
(New Trends in Mathematical Sciences, 2018-12)
Implicit equations of the henneberg-type minimal surface in the four dimensional euclidean space
(2018)
Considering the Weierstrass data as $(\psi ,f,g)=( 2,1-z^{-m},z^{n})$, we introduce a two parameter family of Henneberg type minimal surface that we call $\mathfrak{H}_{m,n}$ for positive integers $(m,n)$ by using the ...
On statistical convergence with respect to measure
(Journal of Classical Analysis, 2017-01)
Several notions of convergence for subsets of metric spaces appear in the literature. In
this paper, for real valued measurable functions defined on a measurable space (X,M ,μ), we obtain a statistical version of Lebesque’s ...
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 ...
Cheng–yau operator and gauss map of rotational hypersurfaces in 4-space
(Springer, 2019)
We consider rotational hypersurface in the four-dimensional Euclidean space E4. We study the Gauss map G of rotational hypersurface in E4 with respect to the so-called Cheng–Yau operator L1 acting on the functions defined ...
Rotational hypersurfaces in S3(r)XR product space
(Sakarya University Journal of Science, 2017)
We consider rotational hypersurfaces in S3(r)XR product space of five dimensional Euclidean space E^5. We calculate the mean curvature and the Gaussian curvature, and give some results.
Henneberg’s algebraic surfaces in minkowski 3-space
(2019)
We consider the Henneberg's algebraic zero mean curvature surfaces in three dimensional Minkowski space, and compute their classes, degrees and integral free representations. We also draw some figures of the algebraic surfaces.
Bour surface companions in non Euclidean space forms
(Geometry, Integrability and Quantization, 2016)
In this paper, we give explicit parametrizations for Bour type surfaces in various three-dimensional space forms, using Weierstrass-type representations. We also determine classes and degrees of some Bour type zero mean ...
Isometric deformation of (m, n)-type helicoidal surface in the three dimensional euclidean space
(2018)
We consider a new kind of helicoidal surface for natural numbers (m, n) in the three-dimensional Euclidean space. We study a helicoidal surface of value (m, n), which is locally isometric to a rotational surface of value ...