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Now showing items 31-40 of 51
Lacunary ideal convergence of double set sequences
(General Mathematics Notes, 2015-08)
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 ...
σ _ asymptotically lacunary statistical equivalent functions on amenable semigroups
(Far East Journal of Applied Mathematics, 2017-02)
New convergence definitions for sequences of sets
(Abstract and Applied Analysis, 2013-09)
Several notions of convergence for subsets of metric space appear in the literature. In this paper, we define Wijsman ---convergence and Wijsman --∗-convergence for sequences of sets and establish some basic theorems. ...
Helical hypersurfaces in minkowski geometry E^1_4
(Symmetry- Basel-MDPI, 2020-07-23)
We define helical (i.e., helicoidal) hypersurfaces depending on the axis of rotation in Minkowski four-space E41 . There are three types of helicoidal hypersurfaces. We derive equations for the curvatures (i.e., Gaussian ...
The fourth fundamental form of the torus hypersurface
(2020-12-10)
We introduce the fourth fundamental form of the torus hypersurface in the four dimensional Euclidean space. We also compute I, II, III and IV fundamental forms of a torus hypersurface.
Fundamental form IV and curvature formulas of the hypersphere
(2020-11-26)
We study curvature formulas and the fourth fundamental form IV of hypersurfaces in the four dimensional
Euclidean geometry E4. We calculate fourth fundamental form and curvatures for hypersurfaces, and also for hypersphere. ...