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Principal Curvature Lines

2001
Theory of surface foliations grew from the classical problems of differential geometry. By the end of the 19th century due to the works of Cayley, Darboux and Picard an important class of foliations given by the lines of principal curvature was singled out.
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Curvature boundary condition for a moving contact line

Journal of Computational Physics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jun Luo   +2 more
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Influence of inhomogeneous substrate curvature on line tension

Physical Review E, 2005
Line tension accompanying equilibrium liquidlike films adsorbed at cylinder-shaped substrates equipped with chemical heterogeneities is studied within an effective interfacial Hamiltonian approach. The heterogeneity has the form of a stripe of width 2L. The leading corrections to the line tension coefficient due to nonzero substrate curvature R(-1) are
P, Jakubczyk, M, Napiórkowski
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Control of lines of curvature for plate forming in shipbuilding

Computer Aided Geometric Design, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Masahito Takezawa   +2 more
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Lines of curvature and umbilical points for implicit surfaces

Computer Aided Geometric Design, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Che, Wu-Jun   +2 more
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The Theory of the Curvature-Constraint Line for Amodal Completion

Perception, 1995
Amodal completion of partly occluded figures is analyzed as natural computation. Here amodal completion is shown to consist of four subproblems: representation, parsing, correspondence, and interpolation. Second, each problem is shown to be basically solvable on the basis of the generic-viewpoint assumption.
H, Takeichi   +3 more
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Diffraction by a line of curvature jump (a special case)

IEEE Transactions on Antennas and Propagation, 2001
We consider the problem of diffraction of a short-wave field by a cylindrical body with the boundary that consists of a half plane and a convex-cylindrical surface jointed together along a straight line. The main feature of the problem under consideration is the jump of curvature of the boundary on the line.
Kirpichnikova, Anna Segeevna   +1 more
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The Prismatic Curvature of Spectral Lines

American Journal of Physics, 1952
A review of the early papers on the curvature of spectral lines is presented. The formulas for the oblique refraction of a light ray incident upon a boundary between two media are derived by means of Fermat's principle. These results are applied to the prismatic refraction of the oblique rays that originate at the off-axis positions of the spectrometer
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Negative Curvature on Line Bundles

1987
This chapter gives sufficient conditions for a complex manifold to be hyperbolic in terms of differential forms. The key word here is curvature, which I find very misleading since what is involved are invariants from linear algebra and how they are related to distance or measure decreasing properties of holomorphic maps.
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