Line congruences as surfaces in the space of lines
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Publication:1295480
DOI10.1016/S0926-2245(98)00025-4zbMath0953.53012WikidataQ115337469 ScholiaQ115337469MaRDI QIDQ1295480
Publication date: 22 January 2001
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Surfaces in Euclidean and related spaces (53A05) Differential line geometry (53A25) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Related Items (6)
A new approach to revolution surface with its focal surface in the Galilean 3-space $\mathbb{G}_{3}$ ⋮ A study on a line congruence as surface in the space of lines ⋮ Caustics of pseudo-spherical surfaces in the Euclidean 3-space ⋮ ON THE GEOMETRY OF THE SPACE OF ORIENTED LINES OF THE HYPERBOLIC SPACE ⋮ Unnamed Item ⋮ On the geometry of the space of oriented lines of Euclidean space
Cites Work
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- Bäcklund's theorem for \(n\)-dimensional submanifolds of \(R^{2n-1}\)
- Deformation of submanifolds of homogeneous spaces
- A gallery of constant-negative-curvature surfaces
- Application of soliton theory to the construction of pseudospherical surfaces in \(\mathbb{R}^ 3\)
- Homogeneous Einstein spaces of dimension four
- Pseudospherical Surfaces and Evolution Equations
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