Results 241 to 250 of about 503,454 (274)
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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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The Characterizations of Parallel q-Equidistant Ruled Surfaces
Symmetry, 2022Yanlin Li +2 more
exaly
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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Geometric Algebra of Singular Ruled Surfaces
Advances in Applied Clifford Algebras, 2021Yanlin Li, Zhigang Wang, Tie-Hong Zhao
exaly