10 papers
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-…
Canal Hypersurfaces Generated by Non-Null Curves with Parallel Frame in Minkowski Space-Time
Mustafa Altın, Ahmet Kazan, Dae Won Yoon
In the present paper, firstly we obtain the canal hypersurfaces that are formed as the envelope of a family of pseudo hyperspheres or pseudo hyperbolic hyperspheres whose centers l…
A Geometric Application of Soliton Surfaces associated with the Betchov-Da Rios Equation using an Extended Darboux Frame Field in
Ahmet Kazan, Mustafa Altın
In this paper, for a soliton surface associated with the Betchov-Da Rios equation, we obtain the derivative formulas of an extended Darboux frame field of a unit speed c…
Some Classifications for Gauss Map of Tubular Hypersurfaces in Concerning Linearized Operators
Ahmet Kazan, Mustafa Altın, Nurettin Cenk Turgay
In this study, we deal with the Gauss map of tubular hypersurfaces in 4-dimensional Lorentz-Minkowski space concerning the linearized operators (Cheng-Yau) and $\…
Rotational hypersufaces in with generalized 1-type Gauss map
Ahmet Kazan, Mustafa Altin, Nurettin Cenk Turgay
In this paper, we study the Gauss map of rotational hypersurfaces in 4-dimensional Lorentz-Minkowski space concerning the linear second order differential operators and …
Timelike General Rotational Surfaces in Minkowski 4-Space with Density
Ahmet Kazan, Mustafa Altın, Dae Won Yoon
In this study, we give weighted mean and weighted Gaussian curvatures of two types of timelike general rotational surfaces with non-null plane meridian curves in four-dimensional M…
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…
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…
Loxodromes on Twisted Surfaces in Lorentz-Minkowski 3-Space
Ahmet Kazan, Mustafa Altın
In the present paper, firstly we give the general formulas according to first fundamental form of a surface for different types of loxodromes, meridians and surfaces in E^3_1. Afte…
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…