Generalized tubes in pseudo‐Galilean 3‐space: Split semi‐quaternionic representations and an application to magnetic flux tubes

DOI10.1002/mma.7866zbMath1529.53016OpenAlexW3207529647MaRDI QIDQ6179805

Publication date: 18 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7866

zbMATH Keywords

mean curvature Gaussian curvature pseudo-Galilean space magnetic flux tube split semi-quaternion generalized tube surface

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Differential geometric aspects in kinematics (53A17) Non-Euclidean differential geometry (53A35)

Cites Work

Canal surfaces with quaternions
A new approach to constant slope surfaces with quaternions
On the geodesics of tubular surfaces in Minkowski 3-space
Some special surfaces in the pseudo-Galilean space
Ruled Weingarten surfaces in the Galilean space
The projective interpretation of the eight 3-dimensional homogeneous geometries
Minding isometries of ruled surfaces in pseudo-Galilean space
Analysis and applications of pipe surfaces
Circular surfaces with split quaternionic representations in Minkowski 3-space
Surfaces of constant curvature in the pseudo-Galilean space
Physics of magnetic flux tubes
A geometrical and physical interpretation of quaternionic generalized magnetic flux tubes
Ruled surfaces constructed by quaternions
Quaternionic approach of canal surfaces constructed by some new ideas
A new representation of canal surfaces with split quaternions in Minkowski 3-space
Real and hyperbolic matrices of split semi quaternions
Analytic and algebraic properties of canal surfaces
Tube surfaces in pseudo-Galilean space
SOME CHARACTERIZATIONS OF CANAL SURFACES
Semi-Euclidean quasi-elliptic planar motion
Surfaces of revolution in the three dimensional pseudo-Galilean space
Translation surfaces in the Galilean space
Involutions in split semi‐quaternions
Twisted surfaces with vanishing curvature in Galilean 3-space
The construction of circular surfaces with quaternions
Proper parametrization of real tubular surfaces
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