Results 31 to 40 of about 553 (67)

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

The space of non-degenerate closed curves in a Riemannian manifold [PDF]

, 2012
Let LM be the semigroup of non-degenerate based loops with a fixed initial/final frame in a Riemannian manifold M of dimension at least three. We compare the topology of LM to that of the loop space Omega FTM on the bundle of frames in the tangent bundle
Mostovoy, Jacob, Sadykov, Rustam
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
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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
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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
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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

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
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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  

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