Results 41 to 50 of about 86 (82)

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

The Pólya f-curvature of plane curves

We introduce and study a new curvature function for plane curves inspired by the weighted mean curvature of M. Gromov. We call it Pólya, being the difference between the usual curvature and the inner product of the normal vector field with the Pólya ...
PRIPOAE, Gabriel-Teodor, CRĂȘMĂREANU, Mircea   +1 more
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

A new frame for non-lightlike curves in Minkowski 3-space: hybrid frame

Demonstratio Mathematica
In this study, we introduce a hybrid frame consisting of elliptic, hyperbolic, and parabolic vectors for the study of non-lightlike curves in Minkowski 3-space.
Öztürk İskender, Çelik Oğuzhan, Çakır Hasan   +2 more
doaj   +1 more source

Discrete thickness

Computational and Mathematical Biophysics, 2014
We investigate the relationship between a discrete version of thickness and its smooth counterpart. These discrete energies are deffned on equilateral polygons with n vertices.
Scholtes Sebastian
doaj   +1 more source

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

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

A New Approach to the Invariants of the Ruled Surfaces with a Ruling Area Vector

, 2010
In this paper, the area vector of a closed space curve and the Steineer vector of a motion are extensively studied by the methods of differential geometry. A new ruled surface whose ruling is the area vector of a closed space curve formed during a closed
R Güneş, H B Karadag, M Karadag
core  

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

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

Weingarten tube-like surfaces in Euclidean 3-space

, 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