Surface Family Pair with Bertrand Pair as Mutual Curvature Lines in Three-Dimensional Lie Group

Surface Family Pair with Bertrand Pair as Mutual Curvature Lines in Three-Dimensional Lie Group

This paper is on deducing the necessary and sufficient conditions of a surface family pair with a Bertrand pair as mutual curvature lines in three-dimensional Lie group <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics>...

Full description

Bibliographic Details
Main Authors:	Awatif Al-Jedani, Rashad A. Abdel-Baky
Format:	Article
Language:	English
Published:	MDPI AG 2023-08-01
Series:	Axioms
Subjects:	Serret–Frenet formulae Bertrand pair marching-scale functions
Online Access:	https://www.mdpi.com/2075-1680/12/9/830

Similar Items

Surface Family Pair with Bertrand Pair as Common Geodesic Curves in Galilean 3-Space 𝔾<sub>3</sub>
by: Areej A. Almoneef, et al.
Published: (2023-05-01)

A Surface Pencil with Bertrand Curves as Joint Curvature Lines in Euclidean Three-Space
by: Sahar H. Nazra, et al.
Published: (2023-10-01)

Surface Pencil Couple with Bertrand Couple as Joint Principal Curves in Galilean 3-Space
by: Nadia Alluhaibi, et al.
Published: (2023-10-01)

A Surface Family with a Mutual Geodesic Curve in Galilean 3-Space <inline-formula><math display="inline"><semantics><msub><mi mathvariant="double-struck">G</mi><mn>3</mn></msub></semantics></math></inline-formula>
by: Awatif Al-Jedani, et al.
Published: (2023-07-01)

One-Parameter Hyperbolic Spatial Locomotions and Invariants of the Axode
by: Areej A. Almoneef, et al.
Published: (2023-08-01)

Some Characteristic Properties of Non-Null Curves in Minkowski 3-Space <inline-formula><math display="inline"><semantics><mrow><msubsup><mo>𝔼</mo><mn>1</mn><mi>3</mi></msubsup></mrow></semantics></math></inline-formula>
by: Areej A. Almoneef, et al.
Published: (2023-06-01)

Surface Family with Bertrand Curves as Joint Asymptotic Curves in 3D Galilean Space
by: Awatif Al-Jedani, et al.
Published: (2023-09-01)

A note on Bertrand curves of constant precession
by: Munevver Yildirim Yilmaz
Published: (2018-07-01)

One-Parameter Hyperbolic Dual Spherical Movements and Timelike Ruled Surfaces
by: Fatemah Mofarreh, et al.
Published: (2023-04-01)

Spacelike ruled surfaces with stationary Disteli-axis
by: Fatemah Mofarreh, et al.
Published: (2023-01-01)

Some characterizations of dual curves in dual 3-space $ \mathbb{D}^{3} $
by: Rashad Abdel-Baky, et al.
Published: (2021-01-01)

Surface family pair with Bertrand pair as mutual geodesic curves in Euclidean 3-space $ \mathbb{E}^{3} $
by: Areej A. Almoneef, et al.
Published: (2023-06-01)

Surface Pencil Pair Interpolating Bertrand Pair as Common Asymptotic Curves in Euclidean 3-Space
by: Fatemah Mofarreh, et al.
Published: (2023-08-01)

Some characterizations of non-null rectifying curves in dual Lorentzian 3-space $\mathbb{D}_{1}^{3}$
by: Roa Makki
Published: (2021-01-01)

Serret-Frenet Frame and Curvatures of Bézier Curves
by: Esra Erkan, et al.
Published: (2018-12-01)

Smarandache curves for spherical indicatrix of the Bertrand curves pair
by: Süleyman Şenyurt, et al.
Published: (2018-02-01)

Serret-Frenet formulas for octonionic curves
by: Özcan Bektaş, et al.
Published: (2019-02-01)

Generalized Bertrand Curves in Minkowski 3-Space
by: Chunxiao Zhang, et al.
Published: (2020-12-01)

Calculation of the Frenet Serret apparatus of curves given by the intersection of two Implicit Surfaces in R3 usingWolfram Mathematica v.11.2 software
by: Graciela Burgos N., et al.
Published: (2019-12-01)

Following 3D paths by a manipulator
by: Mazur Alicja, et al.
Published: (2015-03-01)

The Geometrical Characterizations of the Bertrand Curves of the Null Curves in Semi-Euclidean 4-Space
by: Jianguo Sun, et al.
Published: (2021-12-01)

Generating Bézier curves for medical image reconstruction
by: H.S. Abdel-Aziz, et al.
Published: (2021-04-01)

On the Blaschke approach of Bertrand offsets of spacelike ruled surfaces
by: Maryam T. Aldossary, et al.
Published: (2022-08-01)

The Geometry of Bezier Curves in Minkowski 3−Space
by: Ayşe Yılmaz Ceylan
Published: (2023-03-01)

A Study on the Bertrand Offsets of Timelike Ruled Surfaces in Minkowski 3-Space
by: Rashad A. Abdel-Baky, et al.
Published: (2022-04-01)

Bertrand Offsets of Ruled Surfaces with Blaschke Frame in Euclidean 3-Space
by: Sahar H. Nazra, et al.
Published: (2023-06-01)

On the Bertrand Offsets of Timelike Ruled Surfaces in Minkowski 3-Space
by: Nadia Alluhaibi, et al.
Published: (2022-03-01)

Surfaces Family with Bertrand Curves as Common Asymptotic Curves in Euclidean 3–Space E<sup>3</sup>
by: Maryam T. Aldossary, et al.
Published: (2023-07-01)

Disturbance Interval Observer-Based Robust Constrained Control for Unmanned Aerial Vehicle Path Following
by: Yaping Song, et al.
Published: (2023-01-01)

Cycloids on the Spherical Surface
by: Olejníková Tatiana
Published: (2015-06-01)

Descripción del movimiento humano basado en el marco de Frenet Serret y datos tipo MOCAP
by: Juan Camilo Hernandez-Gomez, et al.
Published: (2021-11-01)

A Study on $f$-Rectifying Curves in Euclidean $n$-Space
by: Zafar Iqbal, et al.
Published: (2021-09-01)

On spinor construction of Bertrand curves
by: Tülay Erişir
Published: (2021-02-01)

Cyclical Surfaces Created by Helix on General Surface of Revolution
by: Olejníková Tatiana
Published: (2013-11-01)

The non-orthogonal Serret–Frenet parametrization applied to the path following problem of a manipulator with partially known dynamics
by: Alicja Mazur, et al.
Published: (2023-06-01)

The autobiography of Bertrand Russell, 1872-1914 /
by: Russell, Bertrand, 1872-1970
Published: (1967)

Transmutation of central forces and Bertrand’s theorem
by: Carimalo Christian
Published: (2023-01-01)

Sweeping Surfaces Due to Conjugate Bishop Frame in 3-Dimensional Lie Group
by: Awatif Al-Jedani, et al.
Published: (2023-04-01)

Equiform rectifying curves in Galilean space G4
by: M. Elzawy, et al.
Published: (2023-11-01)

FAST COMPUTATION OF ALL PAIRS OF GEODESIC DISTANCES
by: Guillaume Noyel, et al.
Published: (2011-06-01)