Results 281 to 290 of about 167,459 (301)
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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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2011
Although a multitude of directrices can be used for a given ruled surface, there are particular directrices that are worth discussing.
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Although a multitude of directrices can be used for a given ruled surface, there are particular directrices that are worth discussing.
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Ruled singular minimal surfaces
Journal of Geometry and PhysicsThe paper is concerned with the classification of singular minimal surfaces. In the first part the authors give some basic concepts and results of immersed surfaces in Euclidean and Lorentzian spaces. In the second part they study singular minimal surfaces in \(\mathbb{R}^{3}\) and prove that the only ruled singular minimal surfaces in \(\mathbb{R}^{3}\
Muhittin Evren Aydin, Ayla Erdur Kara
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Bulletin de la Classe des sciences, 1955
The author has considered three quadratic forms (i) ƒ = Gaβduaduβ (ii) θ = μaβduaduβ and (iii) Φ — ξaβduaduβ. With the help of these quadratic forms ten distinct families of ruled surfaces have been obtained. The intersection of these ruled surfaces with the surface of reference yields interesting results. Also, some particular cases have been studied.
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The author has considered three quadratic forms (i) ƒ = Gaβduaduβ (ii) θ = μaβduaduβ and (iii) Φ — ξaβduaduβ. With the help of these quadratic forms ten distinct families of ruled surfaces have been obtained. The intersection of these ruled surfaces with the surface of reference yields interesting results. Also, some particular cases have been studied.
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2018
This chapter completes the proofs of McDuff’s theorems on rational and ruled symplectic 4-manifolds stated in the introduction.
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This chapter completes the proofs of McDuff’s theorems on rational and ruled symplectic 4-manifolds stated in the introduction.
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