2022
DOI: 10.1002/mma.8884
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Magnetic flux ruled surfaces

Abstract: There is a unique curve called striction curve that is not present on a surface except a ruled surface. This curve is defined as the shortest distance with the help of a common perpendicular line between two adjacent rulings. In this work, we present Lorentz forces and magnetic striction curves produced by the geodesic Frenet frame {}ē,0.1emtruet¯,0.1emtrueg¯$$ \left\{\bar{e},\overline{t},\overline{g}\right\} $$ on the striction curve of the ruled surface defined by the spherical indicatrix curve in a magneti… Show more

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Cited by 9 publications
(3 citation statements)
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References 14 publications
(19 reference statements)
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“…Bozkurt Z. et al conducted an investigation into N-magnetic curves and B-magnetic curves in 3D Riemann manifolds [29][30][31]. Magnetic curves have been a subject of study by researchers across various disciplines and within diverse spatial contexts [32][33][34][35][36][37].…”
Section: Introductionmentioning
confidence: 99%
“…Bozkurt Z. et al conducted an investigation into N-magnetic curves and B-magnetic curves in 3D Riemann manifolds [29][30][31]. Magnetic curves have been a subject of study by researchers across various disciplines and within diverse spatial contexts [32][33][34][35][36][37].…”
Section: Introductionmentioning
confidence: 99%
“…The study of curves and surfaces has wide application areas such as architectural design, computer aided design, astronomy, astrophysics and genetics [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. We encounter curves and surfaces in every differential geometry book.…”
Section: Introductionmentioning
confidence: 99%
“…al. [11] studied magnetic flux surfaces. Another interesting curve is the spherical indicatrix curve.…”
Section: Introductionmentioning
confidence: 99%