Results 41 to 50 of about 88 (84)

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

Weingarten tube-like surfaces in Euclidean 3-space [PDF]

, 2016
In this paper, we study a special kind of tube surfaces, so-called tubelike surface in 3-dimensional Euclidean space E3. It is generated by sweeping a space curve along another central space curve.
SOROUR, Adel H.
core   +1 more source

The effect of knot modifications on the shape of B-spline curves [PDF]

, 2001
. This paper is devoted to the shape control of B-spline curves achieved by the modification of one of its knot values. At first those curves are described along which the points of a B-spline curve move under the modification of a knot value.
Imre Juhász, Miklós Hoffmann
core  

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

Global invariants of paths and curves for the group of orthogonal transformations in the two-dimensional Euclidean space

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, for the orthogonal group G = O(2) and special orthogonal group G = O+(2) global G-invariants of plane paths and plane curves in two-dimensional Euclidean space E2 are studied.
Khadjiev Djavvat, Ören İdris
doaj   +1 more source

Characterization of Speherical Helices in Euclidean 3-Space

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
In this paper, we calculate Frenet frames of the tangent indicatrix (t), principal normal indicatrix (n) and binormal indicatrix (b) of the curve α in ℝ3 which are spherical curves.
Ekmekci Nejat, Okuyucu O. Zeki, Yayli Yusuf   +2 more
doaj   +1 more source

Geometric invariants properties of osculating curves under conformal transformation in Euclidean space ℝ3

Demonstratio Mathematica
An osculating curve is a type of curve in space that holds significance in the study of differential geometry. In this article, we investigate certain geometric invariants of osculating curves on smooth and regularly immersed surfaces under conformal ...
Singh Kuljeet, Sharma Sandeep, Lone Mohamd Saleem   +2 more
doaj   +1 more source

Minimizing the Elastic Energy of Knots [PDF]

, 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  

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

Construction of new curves on nth degree polynomial-type curves using the Flc frame

Demonstratio Mathematica
In this study, first, the pedal curves were defined as the geometric locus of perpendicular projections onto the Frenet-like frame (Flc) vectors T, D 2, and D 1 of a given polynomial curve.
Şenyurt Süleyman, Damar Esra
doaj   +1 more source