Results 1 to 10 of about 280 (131)
On Pseudohyperbolical Smarandache Curves in Minkowski 3-Space [PDF]
International Journal of Mathematics and Mathematical Sciences, 2013 We define pseudohyperbolical Smarandache curves according to the Sabban frame in Minkowski 3-space. We obtain the geodesic curvatures and the expression for the Sabban frame vectors of special pseudohyperbolic Smarandache curves.
Esra Betul Koc Ozturk +3 more
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Biharmonic curves in Minkowski 3-space
International Journal of Mathematics and Mathematical Sciences, 2003 We give a differential geometric interpretation for the classification of biharmonic curves in semi‐Euclidean 3‐space due to Chen and Ishikawa (1991).
Jun-Ichi Inoguchi
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On Pseudospherical Smarandache Curves in Minkowski 3-Space
Journal of Applied Mathematics, 2014 In this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space. We obtain the geodesic curvature and the expressions for the Sabban frame’s vectors
Esra Betul Koc Ozturk +3 more
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A Note on Parametric Surfaces in Minkowski 3-Space [PDF]
The Scientific World Journal, 2014 With the help of the Frenet frame of a given pseudo null curve, a family of parametric surfaces is expressed as a linear combination of this frame. The necessary and sufficient conditions are examined for that curve to be an isoparametric and asymptotic ...
Esra Betul Koc Ozturk
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Biharmonic curves in Minkowski 3-space. Part II
International Journal of Mathematics and Mathematical Sciences, 2006 We give a differential geometric characterization for biharmonic curves with null principal normal in Minkowski 3-space.
Jun-Ichi Inoguchi
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The differential formula of Hasimoto transformation in Minkowski 3-space [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 In this work, the formula is given for the differential of the Hasimoto transformation in Minkowski 3-space.
Nevin Gürbüz
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Osculating Mate of a Curve in Minkowski 3-Space
AxiomsIn this paper, we introduce and develop the concept of osculating curve pairs in the three-dimensional Minkowski space. By defining a vector lying in the intersection of osculating planes of two non-lightlike curves, we characterize osculating mates ...
İskender Öztürk +2 more
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The Geometry of Bezier Curves in Minkowski 3−Space
Universal Journal of Mathematics and Applications, 2023 The scope of this paper is to look at some aspects of the differential geometry of Bezier curves in Minkowski space. For that purpose, we firstly introduce Frenet Bezier curve in Minkowski 3-space.
Ayşe Yılmaz Ceylan
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Null Darboux Curve Pairs in Minkowski 3-Space
Axioms, 2021 Based on the fundamental theories of null curves in Minkowski 3-space, the null Darboux mate curves of a null curve are defined which can be regarded as a kind of extension for Bertrand curves and Mannheim curves in Minkowski 3-space.
Jinhua Qian +3 more
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Umbilics of Surfaces in the Lorentz–Minkowski 3-Space
Results in Mathematics, 2023 AbstractIn this paper, we prove several fundamental properties on umbilics of a space-like or time-like surface in the Lorentz–Minkowski space$${{\mathbb {L}}}^3$$L3. In particular, we show that the local behavior of the curvature line flows of the germ of a space-like surface in$${{\mathbb {L}}}^3$$L3is essentially the same as that of a surface in ...
Naoya Ando, Masaaki Umehara
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