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arxiv: 1505.07189 · v3 · pith:OH7YMH5Pnew · submitted 2015-05-27 · 🧮 math.DG

Nonlinear d'Alembert formula for discrete pseudospherical surfaces

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keywords discreteformulaalembertdecompositionsnonlinearpseudosphericalsurfacesbasis
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On the basis of loop group decompositions (Birkhoff decompositions), we give a discrete version of the nonlinear d'Alembert formula, a method of separation of variables of difference equations, for discrete constant negative Gauss curvature (pseudospherical) surfaces in Euclidean three space. We also compute two examples by this formula in detail.

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