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Titlebook: Advances in Discrete Differential Geometry; Alexander I. Bobenko Book‘‘‘‘‘‘‘‘ 2016 The Editor(s) (if applicable) and The Author(s) 2016 di

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Lena Schwarzl,Eva Vetter,Miroslav Janíkdles from the viewpoint of Discrete Differential Geometry, including a complete classification of discrete vector bundles over finite simplicial complexes. In particular, we obtain a discrete analogue of a theorem of André Weil on the classification of hermitian line bundles. Moreover, we associate
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Rethinking International Development seriesc if it defines an infinitesimal deformation of the triangulation that preserves length cross ratios. We show that each holomorphic vector field can be constructed based on a discrete harmonic function in the sense of the cotan Laplacian. Moreover, to each holomorphic vector field we associate in a
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Bradley Silva M.D.,Dalia Elmofty M.D. dKP equation and its variational formulation on the cubic lattice . as well as on the root lattice .. We prove that, on a lattice of dimension at least four, the corresponding Euler-Lagrange equations are equivalent to the dKP equation.
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Capacity Building and Community Powerian multiform) theory of integrable lattice systems. We derive the multi-time Euler Lagrange equations in their full generality for hierarchies of two-dimensional systems, and construct a pluri-Lagrangian formulation of the potential Korteweg-de Vries hierarchy.
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Bradley Silva M.D.,Dalia Elmofty M.D. dKP equation and its variational formulation on the cubic lattice . as well as on the root lattice .. We prove that, on a lattice of dimension at least four, the corresponding Euler-Lagrange equations are equivalent to the dKP equation.
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https://doi.org/10.1057/9780230298057We introduce a novel class of s-conical nets and, in particular, study s-conical nets with constant mean curvature. Moreover we give a unified description of nets of various types: circular, conical and s-isothermic. The later turn out to be interpolating between the circular net discretization and the s-conical one.
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