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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.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…
math.DG2019
Evolution of Spacelike Curves and Special Timelike Ruled Surfaces in the Minkowski Space
Dae Won Yoon, Zuhal Kucukarslan Yuzbasi, Ebru Cavlak Aslan
In this paper, we get the time evolution equations of the curvature and torsion of the evolving spacelike curves in the Minkowski space. Also, we give inextensible evolutions of ti…