6 citations · 18 across the 9 of their papers we have counts for
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-translators of offset surfaces
Burcu Bektaş Demirci, Ferdağ Kahraman Aksoyak, Murat Babaarslan
In this paper, we study --translators on parallel surfaces and canal surfaces in 3-dimensional Euclidean space . First, we investigate the condition under which…
Isometric Timelike Surfaces in 4--Dimensional Minkowski Space
Burcu Bektaş Demirci, Murat Babaarslan, Yasin Küçükarikan
In this paper, first we study on Bour's theorem for four kinds of timelike helicoidal surfaces in 4-dimensional Minkowski space. Secondly, we analyse the geometric properties of th…
Characterizations of Loxodromes on Rotational Surfaces in Euclidean 3--Space
Ferdağ Kahraman Aksoyak, Burcu Bektaş Demirci, Murat Babaarslan
In this paper, we study on the characterizations of loxodromes on the rotational surfaces satisfying some special geometric properties such as having constant Gaussian curvature, f…
Bour's Theorem of Spacelike Surfaces in Minkowski 4--Space
Murat Babaarslan, Burcu Bektaş Demirci, Yasin Küçükarıkan
In this paper, we study on three kinds of spacelike helicoidal surfaces in Minkowski --space. First, we give an isometry between such helicoidal surfaces and rotational surfaces…
Timelike Loxodromes on Lorentzian Helicoidal Surfaces in Minkowski n--Space
Burcu Bektaş Demirci, Murat Babaarslan, Zehra Öge
In this paper, we examine timelike loxodromes on three kinds of Lorentzian helicoidal surfaces in Minkowski --space. First, we obtain the first order ordinary differential equat…
Spacelike Loxodromes on Helicoidal Surfaces in Lorentzian n--Space
Murat Babaarslan, Burcu Bektaş Demirci, Rukiye Genç
In this paper, we study three types of helicoidal surfaces in a Lorentzian n--space . First, we find the parametrizations of spacelike loxodromes on such spacelike…
Space-like Loxodromes on the Canal Surfaces in Minkowski 3-Space
Nilgun Sonmez, Murat Babaarslan
In this paper, we obtain the differential equations of the space-like loxodromes on the non-degenerate canal surfaces depending on the causal characters of these canal surfaces and…
Time-like constant slope surfaces and space-like Bertrand curves in Minkowski 3-space
Murat Babaarslan, Yusuf Yayli
Defining Lorentzian Sabban frame of the unit speed time-like curves on de Sitter 2-space and introducing space-like height function on the unit speed time-like…
On space-like constant slope surfaces and Bertrand curves in Minkowski 3-space
Murat Babaarslan, Yusuf Yayli
In the present paper, we define the notions of Lorentzian Sabban frames and de Sitter evolutes of the unit speed space-like curves on de Sitter 2-space . In add…
On Helices and Bertrand Curves in Euclidean 3-Space
Murat Babaarslan, Yusuf Yayli
In this article, we investigate Bertrand curves corresponding to the spherical images of the tangent, binormal, principal normal and Darboux indicatrices of a space curve in Euclid…