Results 61 to 70 of about 98 (90)

ON NULL CURVES ON SURFACES AND NULL VECTORS IN LORENTZ SPACE

, 2019
: In this work, we compare the Darboux frame and the Frenet frame of a null curve lying on a spacelike surface in the three-dimensional Lorentz space, and we show that the normal curvature of the curve is a constant.
ÇİFTÇİ, Ünver, ÇÖKEN, A. Ceylan
core   +1 more source

Minimizing the Elastic Energy of Knots

, 1998
We consider the problem of minimizing the bending energy Eb = R 2 ds on isotopy classes of closed curves in IR 3 to model the elastic behaviour of knotted loops of springy wire.
Heiko Von Der Mosel, von der Mosel, Heiko   +1 more
core  

Quaternion-Based Representation of Rotation Minimizing Motions in Euclidean 3-space

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
This paper presents a quaternion-based framework for constructing rotation-minimizing motions in Euclidean 3-space, formulated via quaternion operator. By introducing a novel quaternion operator, we derive angular velocity representations directly from ...
Aksar Murat, Yaylı Yusuf
doaj   +1 more source

General helices on a class of generalized cylinders

Open Mathematics
We study unit-speed general helices on a class of generalized cylinders in Euclidean 3-space whose base curve is planar and whose ruling direction is orthogonal to the base plane.
Mollaoğulları Ahmet
doaj   +1 more source

Sweeping Surfaces of Polynomial Curves in Euclidean 3-space

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this study, we investigate the surfaces created by the movement of the profile curves through the regular polynomial spine curves. To overcome the restrictions of establishing a frame of the polynomial curves at the points where the second and higher ...
Zhu Yuting, Li Yanlin, Eren Kemal, Ersoy Soley   +3 more
doaj   +1 more source

Stationary acceleration of Frenet curves. [PDF]

J Inequal Appl, 2017
Abazari N, Bohner M, Sağer I, Yayli Y.
europepmc   +1 more source

Characterisation of cylindrical curves. [PDF]

Mon Hefte Math, 2015
Starostin EL, van der Heijden GH.
europepmc   +1 more source

Planar Pseudo-geodesics and Totally Umbilic Submanifolds. [PDF]

J Geom Anal
Markvorsen S, Raffaelli M.
europepmc   +1 more source

SECOND GAUSSIAN CURVATURE OF B-SCROLL SURFACES IN MINKOWSKI 3-SPACE

, 2019
ÖZÜSAĞLAM, Erdal
core   +2 more sources

On Soliton Equations in Classical Differential Geometry

, 2020
Valchev, Tihomir
core