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Citations since 2016
13 Research Items
We study the so-called factorable surfaces in the pseudo-Galilean space, the graphs of the product of two functions of one variable. We then classify these surfaces when the mean and Gaussian curvatures are functions of one variable.
In this paper, we investigate the flow of curve and its equiform geometry in 4-dimensional Galilean space. We obtain that the Frenet equations and curvatures of inextensible flows of curves and its equiformly invariant vector fields and intrinsic quantities are independent of time. We find that the motions of curves and its equiform geometry can be...
In this paper we study the polynomial affine translation surfaces in E3 with constant curvature. We derive some non-existence results for such surfaces. Several examples are also given by figures.
In this work, the curves of constant breadth according to Darboux frame in the 3-dimensional Galilean Space are investigated. Firstly the curves of constant breadth according to Darboux frame are determined then the diﬀerential equation of the constant breadth curve with this frame is found. After that some special cases of this diﬀerential equatio...
In this paper, inextensible flows of curves in the equiform geometry of Galilean space G 4 are investigated. Necessary and sufficient conditions for inextensible flows of curves are expressed as a partial differential equation involving the equiform curvature in a 4-dimensional Galilean space G 4 .