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math.DG2025
A Parallel Transport Frame Field Approach to Soliton Surfaces associated with the Betchov-Da Rios Equation in Four Space
Mustafa Altin, Ahmet Kazan
In the present paper, the geometric properties of a soliton surface associated with the Betchov-Da Rios (B-DR) equation using the parallel transport frame field in four-…
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.DG2021
Geometric Characterizations of Canal Hypersurfaces in Euclidean Spaces
Ahmet Kazan, Mustafa Altın, Dae Won Yoon
In the present paper, firstly we obtain the general expression of canal hypersurfaces in Euclidean n-space and deal with canal hypersurfaces in Euclidean 4-space E4. We compute Gau…