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math.DG2022
Canal Hypersurfaces Generated by Pseudo Null, Partially Null and Null Curves in Lorentz-Minkowski 4-Space
Mustafa Altin, Ahmet Kazan, Dae Won Yoon
In this paper, we obtain the parametric expressions of the canal hypersurfaces that are formed as the envelope of a family of pseudo hyperspheres or pseudo hyperbolic hyperspheres…
math-ph2022
The evolution of the electric field along optical fiber for the type-2 and 3 PAFs in Minkowski 3-space
Nevin Ertug Gurbuz, Dae Won Yoon
In this paper, we introduce the type-2 and the type-3 Positional Adapted Frame(PAF) of spacelike curve and timelike curve in Minkowski 3-space. From these PAFs, we study the evolut…
math.DG2022
Canal Hypersurfaces Generated by Non-Null Curves in Lorentz-Minkowski 4-Space
Ahmet Kazan, Mustafa Altin, Dae Won Yoon
In the present paper, firstly we obtain the general expression of the canal hypersurfaces which are formed as the envelope of a family of pseudo hyperspheres, pseudo hyperbolic hyp…