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Ruled surfaces with timelike rulings
Applied Mathematics and Computation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdel-All, Nassar H. +2 more
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Acta Mathematica Sinica, English Series, 2005
Bonnet surfaces are those immersions into Euclidean 3-space whose congruence class is not uniquely determined by their metric and mean curvature. As already proven by Bonnet, all Bonnet surfaces belong to one of the following classes: constant mean curvature surfaces, Bonnet families and Bonnet pairs.
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Bonnet surfaces are those immersions into Euclidean 3-space whose congruence class is not uniquely determined by their metric and mean curvature. As already proven by Bonnet, all Bonnet surfaces belong to one of the following classes: constant mean curvature surfaces, Bonnet families and Bonnet pairs.
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Mathematical Methods in the Applied Sciences, 2022
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 on the striction ...
Ergin Bayram, Fatma Güler, Emin Kasap
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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 on the striction ...
Ergin Bayram, Fatma Güler, Emin Kasap
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Kinematic Generation of Ruled Surfaces
Advances in Computational Mathematics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sprott, Kenneth, Ravani, Bahram
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Constant Angle Ruled Surfaces Associated with Slant Ruled Surfaces
Frontiers of MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Archiv der Mathematik, 1994
In the first part we give a short proof for an old result by Beltrami and Dini on ruled surfaces satisfying a nontrivial relation between \(H\) and \(K\). In the second part we solve the analogous problem for the case of a relation between \(H\) and the inner curvature \(K_{II}\) of the second fundamental form.
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In the first part we give a short proof for an old result by Beltrami and Dini on ruled surfaces satisfying a nontrivial relation between \(H\) and \(K\). In the second part we solve the analogous problem for the case of a relation between \(H\) and the inner curvature \(K_{II}\) of the second fundamental form.
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2021
Ill ÖZET Bu çalışmada, RJ de verilen bir yüzey üzerindeki eğrinin Darboux üçyüzlüsünde invaryant büyüklüklerinden faydalanılarak, doğrular uzayındaki bir regle yüzeyi belirleyen diferansiyel denklem sistemi kurulmuştur. Bu denklem sisteminin genel çözümü bulunamamıştır.
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Ill ÖZET Bu çalışmada, RJ de verilen bir yüzey üzerindeki eğrinin Darboux üçyüzlüsünde invaryant büyüklüklerinden faydalanılarak, doğrular uzayındaki bir regle yüzeyi belirleyen diferansiyel denklem sistemi kurulmuştur. Bu denklem sisteminin genel çözümü bulunamamıştır.
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The Journal of Chemical Physics, 1982
The modification of the absorption, emission, and Raman scattering intensities of molecules near metal surfaces is discussed with emphasis on the last. These modifications are usually referred to as surface selection rules. We show that in Raman scattering, the ‘‘rule,’’ which states that only those modes will be active which belong to the irreducible ...
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The modification of the absorption, emission, and Raman scattering intensities of molecules near metal surfaces is discussed with emphasis on the last. These modifications are usually referred to as surface selection rules. We show that in Raman scattering, the ‘‘rule,’’ which states that only those modes will be active which belong to the irreducible ...
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