Results 1 to 10 of about 2,921 (180)

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
doaj   +2 more sources

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, Ufuk Ozturk, Kazim İlarslan, Emilija Nešović   +3 more
doaj   +4 more sources

Generalized Bertrand Curves in Minkowski 3-Space [PDF]

Mathematics, 2020
We define a generalized lightlike Bertrand curve pair and a generalized non-lightlike Bertrand curve pair, discuss their properties and prove the necessary and sufficient condition of a curve which is a generalized lightlike or a generalized non ...
Chunxiao Zhang, Donghe Pei
doaj   +2 more sources

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
doaj   +2 more sources

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, Ufuk Ozturk, Kazim Ilarslan, Emilija Nešović   +3 more
doaj   +6 more sources

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
doaj   +2 more sources

Geometry and evolution of Hasimoto surface in Minkowski 3-space [PDF]

PLoS ONE
H. S. Abdel-Aziz, H. M. Serry, F. M. El-Adawy, M. Khalifa Saad   +3 more
doaj   +2 more sources

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
doaj   +1 more source

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, Mingyu Sun, Pei Yin, Young-Ho Kim   +3 more
doaj   +1 more source

Ruled translating solitons in Minkowski 3-space [PDF]

Journal of Geometry and Physics, 2021
We characterize all ruled translating solitons in Minkowski 3-space. In contrast to the Euclidean space, we find ruled translating solitons that are not cylindrical. These surfaces appear when the vector field that defines the rulings, viewed as a curve, is a lightlike straight line.
Muhittin Evren Aydin, Rafael López
openaire   +2 more sources