Results 91 to 100 of about 4,861 (197)

Null Bertrand partner D-curves on spacelike surfaces

Frontiers in Physics
In this paper, by using the Darboux frame of null curves, we define null Bertrand partner D-curves and present the relations between curvatures of these curves in Minkowski 3-space E13. In addition, we obtain some special results. Finally, by considering
Tanju Kahraman
doaj   +1 more source

Total torsion of three-dimensional lines of curvature. [PDF]

Geom Dedic, 2023
Raffaelli M.
europepmc   +1 more source

Direction Curves of Vectorial Moments with Respect to an Alternative Frame in Euclidean Space

Communications in Advanced Mathematical Sciences
This study introduces an alternative geometric framework for analyzing curves in three-dimensional Euclidean space. By constructing a set of alternative frame vectors and examining their corresponding derivative relations, a new perspective on the ...
Sıddıka Özkaldı Karakuş, Murat Turan, Uğur Oruç   +2 more
doaj   +1 more source

On the curvatures of the ruled surfaces of b-lift curves

Cumhuriyet Science Journal, 2021
In this study, we defined a new curve which is called the B-Lift curve, also obtained the Frenet vectors of the B-Lift curve. The ruled surfaces have been produced by taking base curves B-Lift curves.
Anıl Altınkaya, Mustafa Çalışkan
doaj  

Inextensible Flows of Curves on Lightlike Surfaces

Mathematics, 2018
In this paper, we study inextensible flows of a curve on a lightlike surface in Minkowski three-space and give a necessary and sufficient condition for inextensible flows of the curve as a partial differential equation involving the curvatures of the ...
Zühal Küçükarslan Yüzbaşı, Dae Won Yoon   +1 more
doaj   +1 more source

The Forward Kinematics of Rolling Contact of Spacelike Surfaces in Lorentzian 3-Space

Cumhuriyet Science Journal, 2018
In thispaper, we investigate the forward kinematics of spin-rolling motion withoutsliding of one spacelike surface on another spacelike surface along thespacelike contact trajectory curves of the surfaces in Lorentzian 3-space.
Mehmet Aydınalp, Hasan Hüseyin Uğurlu, Mustafa Kazaz   +2 more
doaj   +1 more source

Orthogonal nets and Clifford algebras

, 1998
A Clifford algebra model for M"obius geometry is presented. The notion of Ribaucour pairs of orthogonal systems in arbitrary dimensions is introduced, and the structure equations for adapted frames are derived.
Alexander I. Bobenko, Er I. Bobenko, Udo J. Hertrich-jeromin   +2 more
core   +2 more sources

Involutive sweeping surfaces with Frenet frame in Euclidean 3-space. [PDF]

Heliyon, 2023
Köseoğlu G, Bilici M.
europepmc   +1 more source

PPTFH: Robust Local Descriptor Based on Point-Pair Transformation Features for 3D Surface Matching. [PDF]

Sensors (Basel), 2021
Wu L, Zhong K, Li Z, Zhou M, Hu H, Wang C, Shi Y.   +6 more
europepmc   +1 more source

Smooth and Discrete Cone-Nets. [PDF]

Results Math, 2023
Kilian M, Müller C, Tervooren J.
europepmc   +1 more source