# Discrete differential geometry. Consistency as integrability

- Published: 18 Apr 2005

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A.I. Bobenko. Discrete conformal maps and surfaces. - In: SIDE III - Symmetries and integrability of difference equations (Sabaudia, 1998), CRM Proc. Lecture Notes, 225 (2000), pp.

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[BobHoSp] A.I. Bobenko, T. Hoffmann, B.A. Springborn. Discrete minimal surfaces: geometry from combinatorics. Annals of Math., 2005 (to appear).

[BobHoSu] A.I. Bobenko, T. Hoffmann, Yu.B. Suris. Hexagonal circle patterns and integrable systems: patterns with the multi-ratio property and Lax equations on the regular triangular lattice. Int. Math. Res. Not. 2002, no. 3, 111-164.

[BobMaS1] A.I. Bobenko, D. Matthes, Yu.B. Suris. Nonlinear hyperbolic equations in surface theory: integrable discretizations and approximation results. Algebra Anal., 2005 (to appear).

[BobMaS2] A.I. Bobenko, D. Matthes, Yu.B. Suris. Discrete and smooth orthogonal systems: C∞-approximation. Int. Math. Res. Not., 45 (2003), 2415-2459. [OpenAIRE]

[BobMeS] A.I. Bobenko, Ch. Mercat, Yu.B. Suris. Linear and nonlinear theories of discrete analytic functions. Integrable structure and isomonodromic Green's function. J. Reine Angew. Math., 2005 (to appear).

A.I. Bobenko, U. Pinkall. Discrete surfaces with constant negative Gaussian curvature and the Hirota equation. J. Differential Geom., 43 (1996), no. 3, 527-611. [OpenAIRE]

A.I. Bobenko, U. Pinkall. Discrete isothermic surfaces. J. Reine Angew. Math., 475 (1996), 187-208. [OpenAIRE]

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[BobSch1] A.I. Bobenko, W.K. Schief. Discrete indefinite affine spheres. - In: Discrete integrable geometry and physics, Eds. A.I. Bobenko and R. Seiler, Oxford: Clarendon Press, 1999, pp. 113-138.