Results 21 to 30 of about 592 (64)

Siacci's Theorem According to Darboux Frame

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
The resolution of the acceleration vector of rigid body moving along a space curve is well known thanks to Siacci [1]. In this resolution, the acceleration vector is stated as the sum of two special oblique components in the osculating plane of the point
Ozen Kahraman Esen, Tosun Murat, Akyiğit Mahmut   +2 more
doaj   +1 more source

On integrability aspects of the supersymmetric sine-Gordon equation

, 2017
In this paper we study certain integrability properties of the supersymmetric sine-Gordon equation. We construct Lax pairs with their zero-curvature representations which are equivalent to the supersymmetric sine-Gordon equation.
Bertrand, Sébastien
core   +1 more source

Pedal and negative pedal surfaces of framed curves in the Euclidean 3-space

Open Mathematics
We define pedal and negative pedal surfaces of framed curves in the Euclidean 3-space and find that the loci of singularities of them are pedal and negative pedal curves, respectively. Moreover, we give sufficient conditions that pedal and negative pedal
Yao Kaixin, Pei Donghe
doaj   +1 more source

Singularities of multiplicative spherical Darboux image and multiplicative rectifying developable surface

Demonstratio Mathematica
In this study, singularity theory is used to explore the geometrical and topological properties of three types of curves and surfaces in multiplicative Euclidean space.
Li Jiaxin, Yao Xinyu, Ma Zikun, Liu Haiming   +3 more
doaj   +1 more source

Behavior of spatial curves under different transformations in Euclidean 4-space

Demonstratio Mathematica
This study investigates the conditions under which various curves maintain their characteristics when mapped between two regular surfaces in four-dimensional Euclidean space E4{{\mathbb{E}}}^{4}.
Badyal Pushpinder, Singh Kuljeet, Sharma Sandeep   +2 more
doaj   +1 more source

Some aspects of normal curve on smooth surface under isometry

Demonstratio Mathematica
The normal curve is a space curve that plays an important role in the field of differential geometry. This research focuses on analyzing the properties of normal curves on smooth immersed surfaces, considering their invariance under isometric ...
Singh Kuljeet, Sharma Sandeep, Bhardwaj Arun Kumar   +2 more
doaj   +1 more source

Characterizing Level-set Families of Harmonic Functions

, 2019
Families of hypersurfaces that are level-set families of harmonic functions free of critical points are characterized by a local differential-geometric condition.
Ding, Pisheng
core  

ON NULL CURVES ON SURFACES AND NULL VECTORS IN LORENTZ SPACE

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009
: 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.
A. Ceylan ÇÖKEN
doaj  

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

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

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

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009
: In this paper, we have studied the second Gaussian curvature KII of B-Scroll surfaces and extension of the B-Scroll surfaces in the Minkowski 3-space (, d31R31R2x + d2y- d2z) .
Erdal ÖZÜSAĞLAM
doaj