Transformations of quadrilateral lattices (Q2737862)
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scientific article; zbMATH DE number 1639054
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transformations of quadrilateral lattices |
scientific article; zbMATH DE number 1639054 |
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Transformations of quadrilateral lattices (English)
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30 August 2001
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discretizations of conjugate nets
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discretizations of congruences
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0.9037165
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0.88565814
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0.8854746
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0.88165486
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0.87111783
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The authors study discretizations of conjugate nets and discretizations of congruences. Several special cases are studied including discretizations of orthogonal conjugate nets and rectilinear congruences. Also discrete analogues of the Laplace, Combescure, Lévy, radial, and fundamental transformations are proposed; and proven to have the desired properties preserved under their choice of discretization. Discritized \(\overline{\partial}\) formulisms are given for each of their cases.
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