4 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 fou…
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…
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 $\…